126315129600 has 1296 divisors, whose sum is σ = 521916595200. Its totient is φ = 28864512000.

The previous prime is 126315129599. The next prime is 126315129617. The reversal of 126315129600 is 6921513621.

126315129600 is a `hidden beast` number, since 1 + 2 + 6 + 31 + 5 + 12 + 9 + 600 = 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 143 ways as a sum of consecutive naturals, for example, 1158854346 + ... + 1158854454.

Almost surely, 2^126315129600 is an apocalyptic number.

126315129600 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 126315129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260958297600).

126315129600 is an abundant number, since it is smaller than the sum of its proper divisors (395601465600).

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

126315129600 is a wasteful number, since it uses less digits than its factorization.

126315129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 126315129600 in words is "one hundred twenty-six billion, three hundred fifteen million, one hundred twenty-nine thousand, six hundred".