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12220101210132 = 22332112887185747
BaseRepresentation
bin1011000111010011011011…
…0010101011000000010100
31121021020012212100001202000
42301310312302223000110
53100203231402211012
641553500442515300
72400605333305464
oct261646662530024
947236185301660
1012220101210132
113991574612762
121454407205b30
136a8473361c2a
143036555adba4
15162d15e53ddc
hexb1d36cab014

12220101210132 has 96 divisors (see below), whose sum is σ = 31843091696640. Its totient is φ = 4052635947360.

The previous prime is 12220101210127. The next prime is 12220101210157. The reversal of 12220101210132 is 23101210102221.

12220101210132 is a `hidden beast` number, since 1 + 2 + 220 + 101 + 210 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 65696083 + ... + 65881829.

It is an arithmetic number, because the mean of its divisors is an integer number (331698871840).

Almost surely, 212220101210132 is an apocalyptic number.

12220101210132 is a gapful number since it is divisible by the number (12) 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 12220101210132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15921545848320).

12220101210132 is an abundant number, since it is smaller than the sum of its proper divisors (19622990486508).

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

12220101210132 is a wasteful number, since it uses less digits than its factorization.

12220101210132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188858 (or 188850 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12220101210132 its reverse (23101210102221), we get a palindrome (35321311312353).

The spelling of 12220101210132 in words is "twelve trillion, two hundred twenty billion, one hundred one million, two hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 211 422 633 844 1266 1899 2532 2887 3798 5697 5774 7596 8661 11394 11548 17322 22788 25983 34644 51966 77949 103932 155898 185747 311796 371494 557241 609157 742988 1114482 1218314 1671723 1827471 2228964 2436628 3343446 3654942 5015169 5482413 6686892 7309884 10030338 10964826 16447239 20060676 21929652 32894478 39192617 65788956 78385234 117577851 156770468 235155702 352733553 470311404 536251589 705467106 1058200659 1072503178 1410934212 1608754767 2116401318 2145006356 3217509534 4232802636 4826264301 6435019068 9652528602 14478792903 19305057204 28957585806 57915171612 113149085279 226298170558 339447255837 452596341116 678894511674 1018341767511 1357789023348 2036683535022 3055025302533 4073367070044 6110050605066 12220101210132