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12013553200 = 24521117236983
BaseRepresentation
bin10110011000001000…
…00100011000110000
31011000020121201211211
423030010010120300
5144100432200300
65304032045504
7603464342305
oct131404043060
934006551754
1012013553200
115105379370
1223b3393894
131195bcb77c
1481d7490ac
154a4a4b4ba
hex2cc104630

12013553200 has 240 divisors, whose sum is σ = 34793058816. Its totient is φ = 3932262400.

The previous prime is 12013553197. The next prime is 12013553221. The reversal of 12013553200 is 235531021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1716909 + ... + 1723891.

Almost surely, 212013553200 is an apocalyptic number.

12013553200 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 12013553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17396529408).

12013553200 is an abundant number, since it is smaller than the sum of its proper divisors (22779505616).

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

12013553200 is a wasteful number, since it uses less digits than its factorization.

12013553200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7052 (or 7041 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The spelling of 12013553200 in words is "twelve billion, thirteen million, five hundred fifty-three thousand, two hundred".