126436172200 has 96 divisors (see below), whose sum is σ = 326789084160. Its totient is φ = 45178156800.

The previous prime is 126436172167. The next prime is 126436172237. The reversal of 126436172200 is 2271634621.

126436172200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126436172200² (a number of 23 digits) contains 22 as substring.

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, 703744 + ... + 864943.

It is an arithmetic number, because the mean of its divisors is an integer number (3404052960).

Almost surely, 2^126436172200 is an apocalyptic number.

126436172200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126436172200 is an abundant number, since it is smaller than the sum of its proper divisors (200352911960).

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

126436172200 is a wasteful number, since it uses less digits than its factorization.

126436172200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568747 (or 1568738 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 126436172200 in words is "one hundred twenty-six billion, four hundred thirty-six million, one hundred seventy-two thousand, two hundred".