126257340000 has 240 divisors, whose sum is σ = 451801627200. Its totient is φ = 30607680000.

The previous prime is 126257339977. The next prime is 126257340031. The reversal of 126257340000 is 43752621.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 126257340000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 564351 + ... + 755649.

It is an arithmetic number, because the mean of its divisors is an integer number (1882506780).

Almost surely, 2^126257340000 is an apocalyptic number.

126257340000 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 126257340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225900813600).

126257340000 is an abundant number, since it is smaller than the sum of its proper divisors (325544287200).

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

126257340000 is a wasteful number, since it uses less digits than its factorization.

126257340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191343 (or 191320 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 126257340000 in words is "one hundred twenty-six billion, two hundred fifty-seven million, three hundred forty thousand".