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120211112010 = 2351121113011327
BaseRepresentation
bin110111111110100100…
…1000000000001001010
3102111021201102012201210
41233331021000001022
53432143021041020
6131120233153550
711453641410213
oct1577511000112
9374251365653
10120211112010
1146a88047760
121b36a55b8b6
13b449b62412
145b653bc40a
1531d87a73e0
hex1bfd24004a

120211112010 has 128 divisors (see below), whose sum is σ = 316707729408. Its totient is φ = 28959840000.

The previous prime is 120211111961. The next prime is 120211112039. The reversal of 120211112010 is 10211112021.

It is a super-2 number, since 2×1202111120102 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90587967 + ... + 90589293.

It is an arithmetic number, because the mean of its divisors is an integer number (2474279136).

Almost surely, 2120211112010 is an apocalyptic number.

120211112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120211112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158353864704).

120211112010 is an abundant number, since it is smaller than the sum of its proper divisors (196496617398).

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

120211112010 is a wasteful number, since it uses less digits than its factorization.

120211112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120211112010 its reverse (10211112021), we get a palindrome (130422224031).

It can be divided in two parts, 1202111 and 12010, that added together give a palindrome (1214121).

The spelling of 120211112010 in words is "one hundred twenty billion, two hundred eleven million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 211 330 422 633 1055 1266 1301 1327 2110 2321 2602 2654 3165 3903 3981 4642 6330 6505 6635 6963 7806 7962 11605 13010 13270 13926 14311 14597 19515 19905 23210 28622 29194 34815 39030 39810 42933 43791 69630 71555 72985 85866 87582 143110 145970 214665 218955 274511 279997 429330 437910 549022 559994 823533 839991 1372555 1399985 1647066 1679982 1726427 2745110 2799970 3019621 3079967 3452854 4117665 4199955 5179281 6039242 6159934 8235330 8399910 8632135 9058863 9239901 10358562 15098105 15399835 17264270 18117726 18479802 18990697 25896405 30196210 30799670 37981394 45294315 46199505 51792810 56972091 90588630 92399010 94953485 113944182 189906970 284860455 364276097 569720910 728552194 1092828291 1821380485 2185656582 3642760970 4007037067 5464141455 8014074134 10928282910 12021111201 20035185335 24042222402 40070370670 60105556005 120211112010