12924206456400 has 1440 divisors, whose sum is σ = 50044863173760. Its totient is φ = 3196525731840.

The previous prime is 12924206456393. The next prime is 12924206456407. The reversal of 12924206456400 is 465460242921.

It is a happy number.

12924206456400 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 4 + 20 + 64 + 564 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12924206456393) and next prime (12924206456407).

It is a super-2 number, since 2×12924206456400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12924206456407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8656534054 + ... + 8656535546.

It is an arithmetic number, because the mean of its divisors is an integer number (34753377204).

Almost surely, 2^{12924206456400} is an apocalyptic number.

12924206456400 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 12924206456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25022431586880).

12924206456400 is an abundant number, since it is smaller than the sum of its proper divisors (37120656717360).

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

12924206456400 is a wasteful number, since it uses less digits than its factorization.

12924206456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 12924206456400 in words is "twelve trillion, nine hundred twenty-four billion, two hundred six million, four hundred fifty-six thousand, four hundred".