120326432520000 has 1680 divisors, whose sum is σ = 468813344807808. Its totient is φ = 27147294720000.

The previous prime is 120326432519983. The next prime is 120326432520017. The reversal of 120326432520000 is 25234623021.

It is an interprime number because it is at equal distance from previous prime (120326432519983) and next prime (120326432520017).

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×120326432520000² (a number of 29 digits) contains 22 as substring.

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 120326432520000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 177734759662 + ... + 177734760338.

Almost surely, 2^{120326432520000} is an apocalyptic number.

120326432520000 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 120326432520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234406672403904).

120326432520000 is an abundant number, since it is smaller than the sum of its proper divisors (348486912287808).

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

120326432520000 is a wasteful number, since it uses less digits than its factorization.

120326432520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 120326432520000 in words is "one hundred twenty trillion, three hundred twenty-six billion, four hundred thirty-two million, five hundred twenty thousand".