120032223252480 has 3328 divisors, whose sum is σ = 564033151180800. Its totient is φ = 23484432384000.

The previous prime is 120032223252463. The next prime is 120032223252497. The reversal of 120032223252480 is 84252322230021.

120032223252480 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 3 + 2 + 22 + 32 + 524 + 80 = 666.

120032223252480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (120032223252463) and next prime (120032223252497).

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 50625145695 + ... + 50625148065.

Almost surely, 2^{120032223252480} is an apocalyptic number.

120032223252480 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 120032223252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282016575590400).

120032223252480 is an abundant number, since it is smaller than the sum of its proper divisors (444000927928320).

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

120032223252480 is a wasteful number, since it uses less digits than its factorization.

120032223252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 120032223252480 in words is "one hundred twenty trillion, thirty-two billion, two hundred twenty-three million, two hundred fifty-two thousand, four hundred eighty".