120221768832 has 256 divisors, whose sum is σ = 352315768320. Its totient is φ = 36020920320.

The previous prime is 120221768789. The next prime is 120221768851. The reversal of 120221768832 is 238867122021.

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, 194848588 + ... + 194849204.

It is an arithmetic number, because the mean of its divisors is an integer number (1376233470).

Almost surely, 2^120221768832 is an apocalyptic number.

120221768832 is a gapful number since it is divisible by the number (12) 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 120221768832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176157884160).

120221768832 is an abundant number, since it is smaller than the sum of its proper divisors (232093999488).

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

120221768832 is a wasteful number, since it uses less digits than its factorization.

120221768832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 120221768832 in words is "one hundred twenty billion, two hundred twenty-one million, seven hundred sixty-eight thousand, eight hundred thirty-two".