126247334400 has 720 divisors, whose sum is σ = 509513743200. Its totient is φ = 30595276800.

The previous prime is 126247334383. The next prime is 126247334407. The reversal of 126247334400 is 4433742621.

126247334400 is a `hidden beast` number, since 1 + 2 + 6 + 247 + 3 + 3 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (126247334407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41816091 + ... + 41819109.

Almost surely, 2^126247334400 is an apocalyptic number.

126247334400 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 126247334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254756871600).

126247334400 is an abundant number, since it is smaller than the sum of its proper divisors (383266408800).

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

126247334400 is a wasteful number, since it uses less digits than its factorization.

126247334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 126247334400 in words is "one hundred twenty-six billion, two hundred forty-seven million, three hundred thirty-four thousand, four hundred".