120348072000 has 448 divisors, whose sum is σ = 475519699200. Its totient is φ = 29623449600.

The previous prime is 120348071971. The next prime is 120348072011. The reversal of 120348072000 is 270843021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2786571 + ... + 2829429.

It is an arithmetic number, because the mean of its divisors is an integer number (1061427900).

Almost surely, 2^120348072000 is an apocalyptic number.

120348072000 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 120348072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237759849600).

120348072000 is an abundant number, since it is smaller than the sum of its proper divisors (355171627200).

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

120348072000 is a wasteful number, since it uses less digits than its factorization.

120348072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42908 (or 42882 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 120348072000 in words is "one hundred twenty billion, three hundred forty-eight million, seventy-two thousand".