12621194400 has 288 divisors, whose sum is σ = 45002744640. Its totient is φ = 3058155520.

The previous prime is 12621194387. The next prime is 12621194401. The reversal of 12621194400 is 449112621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12621194401) by changing a digit.

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, 1177867 + ... + 1188533.

It is an arithmetic number, because the mean of its divisors is an integer number (156259530).

Almost surely, 2^12621194400 is an apocalyptic number.

12621194400 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 12621194400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22501372320).

12621194400 is an abundant number, since it is smaller than the sum of its proper divisors (32381550240).

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

12621194400 is a wasteful number, since it uses less digits than its factorization.

12621194400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10736 (or 10723 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 12621194400 in words is "twelve billion, six hundred twenty-one million, one hundred ninety-four thousand, four hundred".