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12052931800 = 23527213891063
BaseRepresentation
bin10110011100110100…
…10010010011011000
31011002222201101010111
423032122102103120
5144141022304200
65312000054104
7604453141600
oct131632222330
934088641114
1012052931800
115125625068
122404604334
1311a1108510
14824a79c00
154a82290ba
hex2ce6924d8

12052931800 has 288 divisors, whose sum is σ = 35533663200. Its totient is φ = 3768145920.

The previous prime is 12052931767. The next prime is 12052931801. The reversal of 12052931800 is 813925021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12052931801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11338069 + ... + 11339131.

It is an arithmetic number, because the mean of its divisors is an integer number (123380775).

Almost surely, 212052931800 is an apocalyptic number.

12052931800 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 12052931800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17766831600).

12052931800 is an abundant number, since it is smaller than the sum of its proper divisors (23480731400).

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

12052931800 is a wasteful number, since it uses less digits than its factorization.

12052931800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 12052931800 in words is "twelve billion, fifty-two million, nine hundred thirty-one thousand, eight hundred".