126317030400 has 1188 divisors, whose sum is σ = 521375911056. Its totient is φ = 29142220800.

The previous prime is 126317030363. The next prime is 126317030431. The reversal of 126317030400 is 4030713621.

126317030400 is a `hidden beast` number, since 1 + 2 + 63 + 170 + 30 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 641203102 + ... + 641203298.

It is an arithmetic number, because the mean of its divisors is an integer number (438868612).

Almost surely, 2^126317030400 is an apocalyptic number.

126317030400 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 126317030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260687955528).

126317030400 is an abundant number, since it is smaller than the sum of its proper divisors (395058880656).

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

126317030400 is a wasteful number, since it uses less digits than its factorization.

126317030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 126317030400 in words is "one hundred twenty-six billion, three hundred seventeen million, thirty thousand, four hundred".