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12124032144 = 243736083429
BaseRepresentation
bin10110100101010011…
…00000110010010000
31011021221111122110120
423102221200302100
5144312223012034
65323020030240
7606305400330
oct132251406220
934257448416
1012124032144
115161777884
122424392380
1311b2a70b23
148302a70c0
154ae5c0c49
hex2d2a60c90

12124032144 has 40 divisors (see below), whose sum is σ = 35794762560. Its totient is φ = 3464009088.

The previous prime is 12124032083. The next prime is 12124032161. The reversal of 12124032144 is 44123042121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18041379 + ... + 18042050.

It is an arithmetic number, because the mean of its divisors is an integer number (894869064).

Almost surely, 212124032144 is an apocalyptic number.

12124032144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12124032144 is an abundant number, since it is smaller than the sum of its proper divisors (23670730416).

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

12124032144 is a wasteful number, since it uses less digits than its factorization.

12124032144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36083447 (or 36083441 counting only the distinct ones).

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

Adding to 12124032144 its reverse (44123042121), we get a palindrome (56247074265).

The spelling of 12124032144 in words is "twelve billion, one hundred twenty-four million, thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 36083429 72166858 108250287 144333716 216500574 252584003 288667432 433001148 505168006 577334864 757752009 866002296 1010336012 1515504018 1732004592 2020672024 3031008036 4041344048 6062016072 12124032144