12267550400 has 168 divisors, whose sum is σ = 34986260736. Its totient is φ = 4146508800.

The previous prime is 12267550357. The next prime is 12267550439. The reversal of 12267550400 is 405576221.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 787487 + ... + 802913.

It is an arithmetic number, because the mean of its divisors is an integer number (208251552).

Almost surely, 2^12267550400 is an apocalyptic number.

12267550400 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 12267550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17493130368).

12267550400 is an abundant number, since it is smaller than the sum of its proper divisors (22718710336).

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

12267550400 is a wasteful number, since it uses less digits than its factorization.

12267550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15527 (or 15512 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The spelling of 12267550400 in words is "twelve billion, two hundred sixty-seven million, five hundred fifty thousand, four hundred".