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120211020101120 = 2951315832281813
BaseRepresentation
bin11011010101010011001111…
…001001101011011000000000
3120202122001122200022212020012
4123111103033021223120000
5111224014132121213440
61103400102534004052
734214650066353644
oct3325231711533000
9522561580285205
10120211020101120
1135337230a524a3
121159584b4a6628
13520cb09890930
14219835c974c24
15dd6e702d9e65
hex6d54cf26b600

120211020101120 has 160 divisors (see below), whose sum is σ = 310592051586432. Its totient is φ = 44357549064192.

The previous prime is 120211020101111. The next prime is 120211020101149. The reversal of 120211020101120 is 21101020112021.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 120211020101095 and 120211020101104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51541334 + ... + 53823146.

Almost surely, 2120211020101120 is an apocalyptic number.

120211020101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120211020101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155296025793216).

120211020101120 is an abundant number, since it is smaller than the sum of its proper divisors (190381031485312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120211020101120 is a wasteful number, since it uses less digits than its factorization.

120211020101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283432 (or 2283416 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120211020101120 its reverse (21101020112021), we get a palindrome (141312040213141).

The spelling of 120211020101120 in words is "one hundred twenty trillion, two hundred eleven billion, twenty million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1040 1280 1583 1664 2080 2560 3166 3328 4160 6332 6656 7915 8320 12664 15830 16640 20579 25328 31660 33280 41158 50656 63320 82316 101312 102895 126640 164632 202624 205790 253280 329264 405248 411580 506560 658528 810496 823160 1013120 1317056 1646320 2026240 2281813 2634112 3292640 4052480 4563626 5268224 6585280 9127252 10536448 11409065 13170560 18254504 22818130 26341120 29663569 36509008 45636260 52682240 59327138 73018016 91272520 118654276 146036032 148317845 182545040 237308552 292072064 296635690 365090080 474617104 584144128 593271380 730180160 949234208 1168288256 1186542760 1460360320 1898468416 2373085520 2920720640 3612109979 3796936832 4746171040 5841441280 7224219958 7593873664 9492342080 14448439916 15187747328 18060549895 18984684160 28896879832 36121099790 37969368320 46957429727 57793759664 72242199580 75938736640 93914859454 115587519328 144484399160 187829718908 231175038656 234787148635 288968798320 375659437816 462350077312 469574297270 577937596640 751318875632 924700154624 939148594540 1155875193280 1502637751264 1849400309248 1878297189080 2311750386560 3005275502528 3756594378160 4623500773120 6010551005056 7513188756320 9247001546240 12021102010112 15026377512640 24042204020224 30052755025280 60105510050560 120211020101120