126921600 has 384 divisors, whose sum is σ = 504655200. Its totient is φ = 30965760.

The previous prime is 126921593. The next prime is 126921607. The reversal of 126921600 is 6129621.

It is an interprime number because it is at equal distance from previous prime (126921593) and next prime (126921607).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×126921600² = 32218185093120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126921607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1123144 + ... + 1123256.

Almost surely, 2^126921600 is an apocalyptic number.

126921600 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 126921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252327600).

126921600 is an abundant number, since it is smaller than the sum of its proper divisors (377733600).

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

126921600 is a wasteful number, since it uses less digits than its factorization.

126921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 126921600 is about 11265.9486950722. The cubic root of 126921600 is about 502.5491152705.

The spelling of 126921600 in words is "one hundred twenty-six million, nine hundred twenty-one thousand, six hundred".