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12168802400 = 255215211003
BaseRepresentation
bin10110101010101000…
…10011000001100000
31011102001202012201012
423111110103001200
5144410203134100
65331255400052
7610361054006
oct132524230140
934361665635
1012168802400
115184a76397
122437383028
1311bc1179c1
148361dca76
154b34b6135
hex2d5513060

12168802400 has 36 divisors (see below), whose sum is σ = 29707090812. Its totient is φ = 4867520640.

The previous prime is 12168802369. The next prime is 12168802427. The reversal of 12168802400 is 420886121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 7604702 + ... + 7606301.

It is an arithmetic number, because the mean of its divisors is an integer number (825196967).

Almost surely, 212168802400 is an apocalyptic number.

12168802400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12168802400 is an abundant number, since it is smaller than the sum of its proper divisors (17538288412).

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

12168802400 is a wasteful number, since it uses less digits than its factorization.

12168802400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15211023 (or 15211010 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 12168802400 in words is "twelve billion, one hundred sixty-eight million, eight hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 15211003 30422006 60844012 76055015 121688024 152110030 243376048 304220060 380275075 486752096 608440120 760550150 1216880240 1521100300 2433760480 3042200600 6084401200 12168802400