126988992 has 112 divisors (see below), whose sum is σ = 402112480. Its totient is φ = 39066624.

The previous prime is 126988987. The next prime is 126988993. The reversal of 126988992 is 299889621.

It is a super-2 number, since 2×126988992² = 32252408178352128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (126988993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19638 + ... + 25290.

It is an arithmetic number, because the mean of its divisors is an integer number (3590290).

Almost surely, 2^126988992 is an apocalyptic number.

126988992 is a gapful number since it is divisible by the number (12) 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 126988992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201056240).

126988992 is an abundant number, since it is smaller than the sum of its proper divisors (275123488).

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

126988992 is a wasteful number, since it uses less digits than its factorization.

126988992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5687 (or 5671 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 126988992 is about 11268.9392579781. The cubic root of 126988992 is about 502.6380462784.

The spelling of 126988992 in words is "one hundred twenty-six million, nine hundred eighty-eight thousand, nine hundred ninety-two".