126290250000 has 630 divisors, whose sum is σ = 465128460342. Its totient is φ = 31968000000.

The previous prime is 126290249983. The next prime is 126290250013. The reversal of 126290250000 is 52092621.

126290250000 is a `hidden beast` number, since 12 + 62 + 90 + 2 + 500 + 0 + 0 = 666.

It can be written as a sum of positive squares in 21 ways, for example, as 80603752464 + 45686497536 = 283908^2 + 213744^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 3080249980 + ... + 3080250020.

Almost surely, 2^126290250000 is an apocalyptic number.

126290250000 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 126290250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232564230171).

126290250000 is an abundant number, since it is smaller than the sum of its proper divisors (338838210342).

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

126290250000 is an frugal number, since it uses more digits than its factorization.

126290250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 126290250000 in words is "one hundred twenty-six billion, two hundred ninety million, two hundred fifty thousand".