126250272000 has 576 divisors, whose sum is σ = 476000179200. Its totient is φ = 32939827200.

The previous prime is 126250271977. The next prime is 126250272019. The reversal of 126250272000 is 272052621.

126250272000 is a `hidden beast` number, since 12 + 625 + 0 + 2 + 7 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40606446 + ... + 40609554.

It is an arithmetic number, because the mean of its divisors is an integer number (826389200).

Almost surely, 2^126250272000 is an apocalyptic number.

126250272000 is a gapful number since it is divisible by the number (10) 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 126250272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238000089600).

126250272000 is an abundant number, since it is smaller than the sum of its proper divisors (349749907200).

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

126250272000 is an equidigital number, since it uses as much as digits as its factorization.

126250272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 126250272000 in words is "one hundred twenty-six billion, two hundred fifty million, two hundred seventy-two thousand".