126273525366912 has 1536 divisors, whose sum is σ = 438882022656000. Its totient is φ = 31466104750080.

The previous prime is 126273525366887. The next prime is 126273525366997. The reversal of 126273525366912 is 219663525372621.

126273525366912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 285041817763 + ... + 285041818205.

It is an arithmetic number, because the mean of its divisors is an integer number (285730483500).

Almost surely, 2^{126273525366912} is an apocalyptic number.

126273525366912 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 126273525366912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219441011328000).

126273525366912 is an abundant number, since it is smaller than the sum of its proper divisors (312608497289088).

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

126273525366912 is a wasteful number, since it uses less digits than its factorization.

126273525366912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 827 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 60.

The spelling of 126273525366912 in words is "one hundred twenty-six trillion, two hundred seventy-three billion, five hundred twenty-five million, three hundred sixty-six thousand, nine hundred twelve".