120021122112120 has 384 divisors, whose sum is σ = 403340978476800. Its totient is φ = 30940040282112.

The previous prime is 120021122112103. The next prime is 120021122112131. The reversal of 120021122112120 is 21211221120021.

120021122112120 is a `hidden beast` number, since 1 + 20 + 0 + 211 + 221 + 1 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120021122112093 and 120021122112102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 284217454 + ... + 284639426.

It is an arithmetic number, because the mean of its divisors is an integer number (1050367131450).

Almost surely, 2^{120021122112120} is an apocalyptic number.

120021122112120 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 120021122112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201670489238400).

120021122112120 is an abundant number, since it is smaller than the sum of its proper divisors (283319856364680).

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

120021122112120 is a wasteful number, since it uses less digits than its factorization.

120021122112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422279 (or 422272 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120021122112120 its reverse (21211221120021), we get a palindrome (141232343232141).

The spelling of 120021122112120 in words is "one hundred twenty trillion, twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twenty".