126122400 has 144 divisors (see below), whose sum is σ = 456220800. Its totient is φ = 33626880.

The previous prime is 126122393. The next prime is 126122413. The reversal of 126122400 is 4221621.

126122400 is a `hidden beast` number, since 1 + 261 + 2 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18681 + ... + 24519.

It is an arithmetic number, because the mean of its divisors is an integer number (3168200).

Almost surely, 2^126122400 is an apocalyptic number.

126122400 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 126122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228110400).

126122400 is an abundant number, since it is smaller than the sum of its proper divisors (330098400).

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

126122400 is a wasteful number, since it uses less digits than its factorization.

126122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5868 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 126122400 is about 11230.4229662110. The cubic root of 126122400 is about 501.4920763208.

The spelling of 126122400 in words is "one hundred twenty-six million, one hundred twenty-two thousand, four hundred".