126931200 has 216 divisors, whose sum is σ = 457741536. Its totient is φ = 30720000.

The previous prime is 126931187. The next prime is 126931213. The reversal of 126931200 is 2139621.

It is an interprime number because it is at equal distance from previous prime (126931187) and next prime (126931213).

It is a super-2 number, since 2×126931200² = 32223059066880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 210900 + ... + 211500.

Almost surely, 2^126931200 is an apocalyptic number.

126931200 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 126931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228870768).

126931200 is an abundant number, since it is smaller than the sum of its proper divisors (330810336).

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

126931200 is a wasteful number, since it uses less digits than its factorization.

126931200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 126931200 is about 11266.3747496699. The cubic root of 126931200 is about 502.5617854277.

It can be divided in two parts, 12 and 6931200, that multiplied together give a square (83174400 = 9120²).

The spelling of 126931200 in words is "one hundred twenty-six million, nine hundred thirty-one thousand, two hundred".