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12024552132 = 22321719647961
BaseRepresentation
bin10110011001011100…
…00001101011000100
31011001000022112112200
423030232001223010
5144111241132012
65305103514500
7603660002205
oct131456015304
934030275480
1012024552132
115110600a9a
1223b6bb8a30
13119827cc08
14820dad5ac
154a59c03dc
hex2ccb81ac4

12024552132 has 36 divisors (see below), whose sum is σ = 32183361756. Its totient is φ = 3772408320.

The previous prime is 12024552131. The next prime is 12024552143. The reversal of 12024552132 is 23125542021.

12024552132 is a `hidden beast` number, since 1 + 202 + 455 + 2 + 1 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8182287936 + 3842264196 = 90456^2 + 61986^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 12024552096 and 12024552105.

It is not an unprimeable number, because it can be changed into a prime (12024552131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9823369 + ... + 9824592.

It is an arithmetic number, because the mean of its divisors is an integer number (893982271).

Almost surely, 212024552132 is an apocalyptic number.

12024552132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12024552132 is an abundant number, since it is smaller than the sum of its proper divisors (20158809624).

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

12024552132 is a wasteful number, since it uses less digits than its factorization.

12024552132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19647988 (or 19647983 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 12024552132 in words is "twelve billion, twenty-four million, five hundred fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 19647961 39295922 58943883 78591844 117887766 176831649 235775532 334015337 353663298 668030674 707326596 1002046011 1336061348 2004092022 3006138033 4008184044 6012276066 12024552132