120004004880 has 60 divisors (see below), whose sum is σ = 403013452140. Its totient is φ = 32001067776.

The previous prime is 120004004863. The next prime is 120004004891. The reversal of 120004004880 is 88400400021.

It can be written as a sum of positive squares in 2 ways, for example, as 23287980816 + 96716024064 = 152604^2 + 310992^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×120004004880² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83335395 + ... + 83336834.

It is an arithmetic number, because the mean of its divisors is an integer number (6716890869).

Almost surely, 2^120004004880 is an apocalyptic number.

120004004880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120004004880 is an abundant number, since it is smaller than the sum of its proper divisors (283009447260).

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

120004004880 is a wasteful number, since it uses less digits than its factorization.

120004004880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166672248 (or 166672239 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 120004004880 in words is "one hundred twenty billion, four million, four thousand, eight hundred eighty".