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212101120011012 = 2231726316692368649
BaseRepresentation
bin110000001110011110100011…
…111010100010101100000100
31000210222200001201211221212220
4300032132203322202230010
5210300031043210323022
62031033524232212340
762450541323255001
oct6016364372425404
91023880051757786
10212101120011012
1161644641866091
121b95674bb3a0b0
1391470855272bb
143a53a6b2d08a8
15197c3846d485c
hexc0e7a3ea2b04

212101120011012 has 96 divisors (see below), whose sum is σ = 526322367648000. Its totient is φ = 66248772759552.

The previous prime is 212101120010999. The next prime is 212101120011013. The reversal of 212101120011012 is 210110021101212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212101120010982 and 212101120011000.

It is not an unprimeable number, because it can be changed into a prime (212101120011013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88360864 + ... + 90729512.

It is an arithmetic number, because the mean of its divisors is an integer number (5482524663000).

Almost surely, 2212101120011012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212101120011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263161183824000).

212101120011012 is an abundant number, since it is smaller than the sum of its proper divisors (314221247636988).

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

212101120011012 is a wasteful number, since it uses less digits than its factorization.

212101120011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370605 (or 2370603 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212101120011012 its reverse (210110021101212), we get a palindrome (422211141112224).

The spelling of 212101120011012 in words is "two hundred twelve trillion, one hundred one billion, one hundred twenty million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 263 526 789 1052 1578 1669 3156 3338 4471 5007 6676 8942 10014 13413 17884 20028 26826 28373 53652 56746 85119 113492 170238 340476 438947 877894 1316841 1755788 2368649 2633682 4737298 5267364 7105947 7462099 9474596 14211894 14924198 22386297 28423788 29848396 40267033 44772594 80534066 89545188 120801099 161068132 241602198 483204396 622954687 1245909374 1868864061 2491818748 3737728122 3953275181 7475456244 7906550362 10590229679 11859825543 15813100724 21180459358 23719651086 31770689037 42360918716 47439302172 63541378074 67205678077 127082756148 134411356154 201617034231 268822712308 403234068462 806468136924 1039711372603 2079422745206 3119134117809 4158845490412 6238268235618 12476536471236 17675093334251 35350186668502 53025280002753 70700373337004 106050560005506 212101120011012