120208789072000 has 256 divisors, whose sum is σ = 299655668388960. Its totient is φ = 47957114880000.

The previous prime is 120208789071989. The next prime is 120208789072013. The reversal of 120208789072000 is 270987802021.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 30155825410624 + 90052963661376 = 5491432^2 + 9489624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12819531312 + ... + 12819540688.

Almost surely, 2^{120208789072000} is an apocalyptic number.

120208789072000 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 120208789072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149827834194480).

120208789072000 is an abundant number, since it is smaller than the sum of its proper divisors (179446879316960).

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

120208789072000 is an equidigital number, since it uses as much as digits as its factorization.

120208789072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11428 (or 11406 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 46.

The spelling of 120208789072000 in words is "one hundred twenty trillion, two hundred eight billion, seven hundred eighty-nine million, seventy-two thousand".