120038352000 has 512 divisors, whose sum is σ = 478734796800. Its totient is φ = 25991884800.

The previous prime is 120038351969. The next prime is 120038352017. The reversal of 120038352000 is 253830021.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 6374599 + ... + 6393401.

It is an arithmetic number, because the mean of its divisors is an integer number (935028900).

Almost surely, 2^120038352000 is an apocalyptic number.

120038352000 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 120038352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239367398400).

120038352000 is an abundant number, since it is smaller than the sum of its proper divisors (358696444800).

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

120038352000 is a wasteful number, since it uses less digits than its factorization.

120038352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18861 (or 18839 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 120038352000 in words is "one hundred twenty billion, thirty-eight million, three hundred fifty-two thousand".