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12252296160 = 25325133143491
BaseRepresentation
bin10110110100100101…
…10011001111100000
31011121212212010121200
423122102303033200
5200043041434120
65343441121200
7612423541026
oct133222631740
934555763550
1012252296160
1152181134a5
12245b329200
1312034cc3b0
14843334716
154ba9a9e90
hex2da4b33e0

12252296160 has 576 divisors, whose sum is σ = 47657465856. Its totient is φ = 2844979200.

The previous prime is 12252296149. The next prime is 12252296227. The reversal of 12252296160 is 6169225221.

12252296160 is a `hidden beast` number, since 12 + 2 + 5 + 2 + 29 + 616 + 0 = 666.

12252296160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122522961602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24953515 + ... + 24954005.

It is an arithmetic number, because the mean of its divisors is an integer number (82738656).

Almost surely, 212252296160 is an apocalyptic number.

12252296160 is a gapful number since it is divisible by the number (10) 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 12252296160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23828732928).

12252296160 is an abundant number, since it is smaller than the sum of its proper divisors (35405169696).

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

12252296160 is a wasteful number, since it uses less digits than its factorization.

12252296160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12252296160 in words is "twelve billion, two hundred fifty-two million, two hundred ninety-six thousand, one hundred sixty".