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12089631400 = 23527114716703
BaseRepresentation
bin10110100001001100…
…10010001010101000
31011012112202220111221
423100212102022220
5144224421201100
65315350431424
7605410112530
oct132046221250
934175686457
1012089631400
115144311010
122414962574
1311a88b7a62
148298b04c0
154ab57801a
hex2d09922a8

12089631400 has 192 divisors, whose sum is σ = 35791994880. Its totient is φ = 3687801600.

The previous prime is 12089631383. The next prime is 12089631403. The reversal of 12089631400 is 413698021.

It is not an unprimeable number, because it can be changed into a prime (12089631403) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 715449 + ... + 732151.

It is an arithmetic number, because the mean of its divisors is an integer number (186416640).

Almost surely, 212089631400 is an apocalyptic number.

12089631400 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 12089631400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17895997440).

12089631400 is an abundant number, since it is smaller than the sum of its proper divisors (23702363480).

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

12089631400 is a wasteful number, since it uses less digits than its factorization.

12089631400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16784 (or 16775 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 12089631400 in words is "twelve billion, eighty-nine million, six hundred thirty-one thousand, four hundred".