126342289920 has 960 divisors, whose sum is σ = 535244599296. Its totient is φ = 25092587520.

The previous prime is 126342289907. The next prime is 126342289949. The reversal of 126342289920 is 29982243621.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 126342289920.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95208297 + ... + 95209623.

Almost surely, 2^126342289920 is an apocalyptic number.

126342289920 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 126342289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267622299648).

126342289920 is an abundant number, since it is smaller than the sum of its proper divisors (408902309376).

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

126342289920 is a wasteful number, since it uses less digits than its factorization.

126342289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 126342289920 in words is "one hundred twenty-six billion, three hundred forty-two million, two hundred eighty-nine thousand, nine hundred twenty".