12162550400 has 384 divisors, whose sum is σ = 40351167360. Its totient is φ = 3498393600.

The previous prime is 12162550373. The next prime is 12162550403. The reversal of 12162550400 is 405526121.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 12162550400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12162550403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3201302 + ... + 3205098.

It is an arithmetic number, because the mean of its divisors is an integer number (105081165).

Almost surely, 2^12162550400 is an apocalyptic number.

12162550400 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 12162550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20175583680).

12162550400 is an abundant number, since it is smaller than the sum of its proper divisors (28188616960).

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

12162550400 is a wasteful number, since it uses less digits than its factorization.

12162550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3852 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 12162550400 in words is "twelve billion, one hundred sixty-two million, five hundred fifty thousand, four hundred".