126249752580000 has 1920 divisors, whose sum is σ = 504967318732800. Its totient is φ = 26969531904000.

The previous prime is 126249752579959. The next prime is 126249752580011. The reversal of 126249752580000 is 85257942621.

It is a super-2 number, since 2×126249752580000² (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 319 ways as a sum of consecutive naturals, for example, 351670619821 + ... + 351670620179.

It is an arithmetic number, because the mean of its divisors is an integer number (263003811840).

Almost surely, 2^{126249752580000} is an apocalyptic number.

126249752580000 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 126249752580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252483659366400).

126249752580000 is an abundant number, since it is smaller than the sum of its proper divisors (378717566152800).

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

126249752580000 is a wasteful number, since it uses less digits than its factorization.

126249752580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 126249752580000 in words is "one hundred twenty-six trillion, two hundred forty-nine billion, seven hundred fifty-two million, five hundred eighty thousand".