126251513071700 has 18 divisors (see below), whose sum is σ = 273965783365806. Its totient is φ = 50500605228640.

The previous prime is 126251513071681. The next prime is 126251513071709. The reversal of 126251513071700 is 7170315152621.

It can be written as a sum of positive squares in 3 ways, for example, as 272304461584 + 125979208610116 = 521828^2 + 11224046^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126251513071709) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 631257565259 + ... + 631257565458.

Almost surely, 2^{126251513071700} is an apocalyptic number.

126251513071700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126251513071700 is an abundant number, since it is smaller than the sum of its proper divisors (147714270294106).

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

126251513071700 is a wasteful number, since it uses less digits than its factorization.

126251513071700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262515130731 (or 1262515130724 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 41.

The spelling of 126251513071700 in words is "one hundred twenty-six trillion, two hundred fifty-one billion, five hundred thirteen million, seventy-one thousand, seven hundred".