126292200 has 48 divisors (see below), whose sum is σ = 391507680. Its totient is φ = 33677760.

The previous prime is 126292193. The next prime is 126292223. The reversal of 126292200 is 2292621.

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 11 ways as a sum of consecutive naturals, for example, 104644 + ... + 105843.

It is an arithmetic number, because the mean of its divisors is an integer number (8156410).

Almost surely, 2^126292200 is an apocalyptic number.

126292200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126292200 is an abundant number, since it is smaller than the sum of its proper divisors (265215480).

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

126292200 is a wasteful number, since it uses less digits than its factorization.

126292200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210506 (or 210497 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 126292200 is about 11237.9802455779. The cubic root of 126292200 is about 501.7170301984.

The spelling of 126292200 in words is "one hundred twenty-six million, two hundred ninety-two thousand, two hundred".