126841252010000 has 400 divisors, whose sum is σ = 344156974115328. Its totient is φ = 45253574080000.

The previous prime is 126841252009991. The next prime is 126841252010017. The reversal of 126841252010000 is 10252148621.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×126841252010000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 705340097 + ... + 705519903.

Almost surely, 2^{126841252010000} is an apocalyptic number.

126841252010000 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 126841252010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172078487057664).

126841252010000 is an abundant number, since it is smaller than the sum of its proper divisors (217315722105328).

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

126841252010000 is an equidigital number, since it uses as much as digits as its factorization.

126841252010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179921 (or 179878 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 126841252010000 in words is "one hundred twenty-six trillion, eight hundred forty-one billion, two hundred fifty-two million, ten thousand".