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12242142132 = 22311479193619
BaseRepresentation
bin10110110011011000…
…00100001110110100
31011121011202020220120
423121230010032310
5200032442022012
65342435331540
7612241330323
oct133154041664
934534666816
1012242142132
115212408640
122457a50bb0
1312013856ac
14841c500ba
154b9b5158c
hex2d9b043b4

12242142132 has 48 divisors (see below), whose sum is σ = 31227033600. Its totient is φ = 3701976160.

The previous prime is 12242142109. The next prime is 12242142161. The reversal of 12242142132 is 23124124221.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33582 + ... + 160037.

It is an arithmetic number, because the mean of its divisors is an integer number (650563200).

Almost surely, 212242142132 is an apocalyptic number.

12242142132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12242142132 is an abundant number, since it is smaller than the sum of its proper divisors (18984891468).

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

12242142132 is a wasteful number, since it uses less digits than its factorization.

12242142132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194116 (or 194114 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

Adding to 12242142132 its reverse (23124124221), we get a palindrome (35366266353).

The spelling of 12242142132 in words is "twelve billion, two hundred forty-two million, one hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 479 958 1437 1916 2874 5269 5748 10538 15807 21076 31614 63228 193619 387238 580857 774476 1161714 2129809 2323428 4259618 6389427 8519236 12778854 25557708 92743501 185487002 278230503 370974004 556461006 1020178511 1112922012 2040357022 3060535533 4080714044 6121071066 12242142132