126812470400 has 288 divisors, whose sum is σ = 397545738480. Its totient is φ = 39525427200.

The previous prime is 126812470397. The next prime is 126812470429. The reversal of 126812470400 is 4074218621.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1688039 + ... + 1761561.

Almost surely, 2^126812470400 is an apocalyptic number.

126812470400 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 126812470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198772869240).

126812470400 is an abundant number, since it is smaller than the sum of its proper divisors (270733268080).

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

126812470400 is a wasteful number, since it uses less digits than its factorization.

126812470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73572 (or 73548 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The spelling of 126812470400 in words is "one hundred twenty-six billion, eight hundred twelve million, four hundred seventy thousand, four hundred".