126432480000 has 180 divisors, whose sum is σ = 420485470328. Its totient is φ = 33715200000.

The previous prime is 126432479989. The next prime is 126432480011. The reversal of 126432480000 is 84234621.

It is an interprime number because it is at equal distance from previous prime (126432479989) and next prime (126432480011).

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 126432480000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 348300 + ... + 611700.

Almost surely, 2^126432480000 is an apocalyptic number.

126432480000 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 126432480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210242735164).

126432480000 is an abundant number, since it is smaller than the sum of its proper divisors (294052990328).

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

126432480000 is an frugal number, since it uses more digits than its factorization.

126432480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263440 (or 263411 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 126432480000 in words is "one hundred twenty-six billion, four hundred thirty-two million, four hundred eighty thousand".