120807221184 has 336 divisors, whose sum is σ = 384639149440. Its totient is φ = 36010967040.

The previous prime is 120807221177. The next prime is 120807221203. The reversal of 120807221184 is 481122708021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75081372 + ... + 75082980.

Almost surely, 2^120807221184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120807221184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192319574720).

120807221184 is an abundant number, since it is smaller than the sum of its proper divisors (263831928256).

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

120807221184 is a wasteful number, since it uses less digits than its factorization.

120807221184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 120807221184 in words is "one hundred twenty billion, eight hundred seven million, two hundred twenty-one thousand, one hundred eighty-four".