12402629222400 has 1008 divisors, whose sum is σ = 47616774813504. Its totient is φ = 3077678039040.

The previous prime is 12402629222383. The next prime is 12402629222443. The reversal of 12402629222400 is 422292620421.

12402629222400 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 2 + 6 + 29 + 222 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1568559247 + ... + 1568567153.

Almost surely, 2^{12402629222400} is an apocalyptic number.

12402629222400 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 12402629222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23808387406752).

12402629222400 is an abundant number, since it is smaller than the sum of its proper divisors (35214145591104).

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

12402629222400 is a wasteful number, since it uses less digits than its factorization.

12402629222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8009 (or 7977 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 12402629222400 in words is "twelve trillion, four hundred two billion, six hundred twenty-nine million, two hundred twenty-two thousand, four hundred".