126161883072 has 392 divisors, whose sum is σ = 396377586720. Its totient is φ = 39743447040.

The previous prime is 126161883041. The next prime is 126161883073. The reversal of 126161883072 is 270388161621.

126161883072 is a `hidden beast` number, since 1 + 26 + 1 + 618 + 8 + 3 + 0 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126161883073) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 95504172 + ... + 95505492.

Almost surely, 2^126161883072 is an apocalyptic number.

126161883072 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 126161883072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198188793360).

126161883072 is an abundant number, since it is smaller than the sum of its proper divisors (270215703648).

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

126161883072 is an equidigital number, since it uses as much as digits as its factorization.

126161883072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 126161883072 in words is "one hundred twenty-six billion, one hundred sixty-one million, eight hundred eighty-three thousand, seventy-two".