126972912 has 40 divisors (see below), whose sum is σ = 357834240. Its totient is φ = 38476480.

The previous prime is 126972899. The next prime is 126972917. The reversal of 126972912 is 219279621.

It is a super-2 number, since 2×126972912² = 32244240763519488, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126972917) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119712 + ... + 120767.

It is an arithmetic number, because the mean of its divisors is an integer number (8945856).

Almost surely, 2^126972912 is an apocalyptic number.

126972912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126972912 is an abundant number, since it is smaller than the sum of its proper divisors (230861328).

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

126972912 is a wasteful number, since it uses less digits than its factorization.

126972912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240501 (or 240495 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 126972912 is about 11268.2257698362. The cubic root of 126972912 is about 502.6168298438.

The spelling of 126972912 in words is "one hundred twenty-six million, nine hundred seventy-two thousand, nine hundred twelve".