126112900 has 27 divisors (see below), whose sum is σ = 273908901. Its totient is φ = 50400240.

The previous prime is 126112897. The next prime is 126112927. The reversal of 126112900 is 9211621.

The square root of 126112900 is 11230.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 45400644 + 80712256 = 6738^2 + 8984^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 111739 + ... + 112861.

Almost surely, 2^126112900 is an apocalyptic number.

126112900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126112900 is the 11230-th square number.

It is an amenable number.

126112900 is an abundant number, since it is smaller than the sum of its proper divisors (147796001).

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

126112900 is an equidigital number, since it uses as much as digits as its factorization.

126112900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The cubic root of 126112900 is about 501.4794845994.

It can be divided in two parts, 1261 and 12900, that added together give a square (14161 = 119²).

The spelling of 126112900 in words is "one hundred twenty-six million, one hundred twelve thousand, nine hundred".