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211120200000120 = 233523347220440421
BaseRepresentation
bin110000000000001101000000…
…100001101010001001111000
31000200111220010201210101222010
4300000031000201222021320
5210132443132200000440
62025003140404125520
762316634236611235
oct6000150041521170
91020456121711863
10211120200000120
11612a663500a434
121b8186139968a0
1390a571b154658
143a1c3b4cc478c
151961ac3058580
hexc0034086a278

211120200000120 has 128 divisors (see below), whose sum is σ = 662802625635840. Its totient is φ = 53695759265280.

The previous prime is 211120200000109. The next prime is 211120200000131. The reversal of 211120200000120 is 21000002021112.

It is an interprime number because it is at equal distance from previous prime (211120200000109) and next prime (211120200000131).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211120200000096 and 211120200000105.

It is a congruent number.

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, 109262491 + ... + 111177930.

It is an arithmetic number, because the mean of its divisors is an integer number (5178145512780).

Almost surely, 2211120200000120 is an apocalyptic number.

211120200000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120200000120 is an abundant number, since it is smaller than the sum of its proper divisors (451682425635720).

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

211120200000120 is a wasteful number, since it uses less digits than its factorization.

211120200000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220440805 (or 220440801 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211120200000120 its reverse (21000002021112), we get a palindrome (232120202021232).

The spelling of 211120200000120 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 347 460 552 690 694 920 1041 1380 1388 1735 2082 2760 2776 3470 4164 5205 6940 7981 8328 10410 13880 15962 20820 23943 31924 39905 41640 47886 63848 79810 95772 119715 159620 191544 239430 319240 478860 957720 220440421 440880842 661321263 881761684 1102202105 1322642526 1763523368 2204404210 2645285052 3306606315 4408808420 5070129683 5290570104 6613212630 8817616840 10140259366 13226425260 15210389049 20280518732 25350648415 26452850520 30420778098 40561037464 50701296830 60841556196 76051945245 76492826087 101402593660 121683112392 152103890490 152985652174 202805187320 229478478261 304207780980 305971304348 382464130435 458956956522 608415561960 611942608696 764928260870 917913913044 1147392391305 1529856521740 1759335000001 1835827826088 2294784782610 3059713043480 3518670000002 4589569565220 5278005000003 7037340000004 8796675000005 9179139130440 10556010000006 14074680000008 17593350000010 21112020000012 26390025000015 35186700000020 42224040000024 52780050000030 70373400000040 105560100000060 211120200000120