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120211000202120 = 23519838572223677
BaseRepresentation
bin11011010101010011001101…
…111101110001001110001000
3120202122001121021212212221012
4123111103031331301032020
5111224014112022431440
61103400100543303052
734214646435255242
oct3325231575611610
9522561537785835
10120211000202120
11353372207a1043
12115958448aaa88
13520cb05714489
14219835a075092
15dd6e6d6a8e65
hex6d54cdf71388

120211000202120 has 128 divisors (see below), whose sum is σ = 288476857468800. Its totient is φ = 44952268548096.

The previous prime is 120211000202099. The next prime is 120211000202131. The reversal of 120211000202120 is 21202000112021.

It is a junction number, because it is equal to n+sod(n) for n = 120211000202095 and 120211000202104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52947722 + ... + 55171398.

It is an arithmetic number, because the mean of its divisors is an integer number (2253725448975).

Almost surely, 2120211000202120 is an apocalyptic number.

120211000202120 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 120211000202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144238428734400).

120211000202120 is an abundant number, since it is smaller than the sum of its proper divisors (168265857266680).

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

120211000202120 is a wasteful number, since it uses less digits than its factorization.

120211000202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224647 (or 2224643 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120211000202120 its reverse (21202000112021), we get a palindrome (141413000314141).

Subtracting from 120211000202120 its reverse (21202000112021), we obtain a palindrome (99009000090099).

The spelling of 120211000202120 in words is "one hundred twenty trillion, two hundred eleven billion, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 83 95 152 166 190 332 380 415 664 760 830 857 1577 1660 1714 3154 3320 3428 4285 6308 6856 7885 8570 12616 15770 16283 17140 31540 32566 34280 63080 65132 71131 81415 130264 142262 162830 284524 325660 355655 569048 651320 711310 1351489 1422620 2223677 2702978 2845240 4447354 5405956 6757445 8894708 10811912 11118385 13514890 17789416 22236770 27029780 42249863 44473540 54059560 84499726 88947080 168999452 184565191 211249315 337998904 369130382 422498630 738260764 844997260 922825955 1476521528 1689994520 1845651910 1905691189 3506738629 3691303820 3811382378 7013477258 7382607640 7622764756 9528455945 14026954516 15245529512 17533693145 19056911890 28053909032 35067386290 36208132591 38113823780 70134772580 72416265182 76227647560 140269545160 144832530364 158172368687 181040662955 289665060728 316344737374 362081325910 632689474748 724162651820 790861843435 1265378949496 1448325303640 1581723686870 3005275005053 3163447373740 6010550010106 6326894747480 12021100020212 15026375025265 24042200040424 30052750050530 60105500101060 120211000202120