126001399680 has 1152 divisors, whose sum is σ = 517628180160. Its totient is φ = 27975352320.

The previous prime is 126001399673. The next prime is 126001399709. The reversal of 126001399680 is 86993100621.

It is a happy number.

126001399680 is a `hidden beast` number, since 1 + 2 + 600 + 1 + 39 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1223314509 + ... + 1223314611.

Almost surely, 2^126001399680 is an apocalyptic number.

126001399680 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 126001399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258814090080).

126001399680 is an abundant number, since it is smaller than the sum of its proper divisors (391626780480).

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

126001399680 is a wasteful number, since it uses less digits than its factorization.

126001399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 126001399680 in words is "one hundred twenty-six billion, one million, three hundred ninety-nine thousand, six hundred eighty".