126492912 has 240 divisors, whose sum is σ = 446846400. Its totient is φ = 33191424.

The previous prime is 126492887. The next prime is 126492953. The reversal of 126492912 is 219294621.

126492912 is a `hidden beast` number, since 1 + 2 + 649 + 2 + 9 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 641998 + ... + 642194.

It is an arithmetic number, because the mean of its divisors is an integer number (1861860).

Almost surely, 2^126492912 is an apocalyptic number.

126492912 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 126492912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223423200).

126492912 is an abundant number, since it is smaller than the sum of its proper divisors (320353488).

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

126492912 is a wasteful number, since it uses less digits than its factorization.

126492912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 222 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 126492912 is about 11246.9067747537. The cubic root of 126492912 is about 501.9826769259.

The spelling of 126492912 in words is "one hundred twenty-six million, four hundred ninety-two thousand, nine hundred twelve".