120433082880 has 320 divisors, whose sum is σ = 420723072000. Its totient is φ = 29146398720.

The previous prime is 120433082879. The next prime is 120433082963. The reversal of 120433082880 is 88280334021.

It is a tau number, because it is divible by the number of its divisors (320).

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, 86084421 + ... + 86085819.

It is an arithmetic number, because the mean of its divisors is an integer number (1314759600).

Almost surely, 2^120433082880 is an apocalyptic number.

120433082880 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 120433082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210361536000).

120433082880 is an abundant number, since it is smaller than the sum of its proper divisors (300289989120).

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

120433082880 is a wasteful number, since it uses less digits than its factorization.

120433082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

It can be divided in two parts, 1204330 and 82880, that added together give a triangular number (1287210 = T₁₆₀₄).

The spelling of 120433082880 in words is "one hundred twenty billion, four hundred thirty-three million, eighty-two thousand, eight hundred eighty".