126209062490112 has 1248 divisors, whose sum is σ = 454609231474944. Its totient is φ = 34226543001600.

The previous prime is 126209062490087. The next prime is 126209062490129. The reversal of 126209062490112 is 211094260902621.

126209062490112 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 0 + 9 + 0 + 624 + 9 + 0 + 1 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10569382062 + ... + 10569394002.

It is an arithmetic number, because the mean of its divisors is an integer number (364270217528).

Almost surely, 2^{126209062490112} is an apocalyptic number.

126209062490112 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 126209062490112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227304615737472).

126209062490112 is an abundant number, since it is smaller than the sum of its proper divisors (328400168984832).

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

126209062490112 is an equidigital number, since it uses as much as digits as its factorization.

126209062490112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12065 (or 12031 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 126209062490112 in words is "one hundred twenty-six trillion, two hundred nine billion, sixty-two million, four hundred ninety thousand, one hundred twelve".