120211103117520 has 480 divisors, whose sum is σ = 438720750074880. Its totient is φ = 29385742049280.

The previous prime is 120211103117477. The next prime is 120211103117527. The reversal of 120211103117520 is 25711301112021.

120211103117520 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 11 + 10 + 3 + 117 + 520 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120211103117527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4943488402 + ... + 4943512718.

It is an arithmetic number, because the mean of its divisors is an integer number (914001562656).

Almost surely, 2^{120211103117520} is an apocalyptic number.

120211103117520 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 120211103117520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219360375037440).

120211103117520 is an abundant number, since it is smaller than the sum of its proper divisors (318509646957360).

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

120211103117520 is a wasteful number, since it uses less digits than its factorization.

120211103117520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36043 (or 36034 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

Adding to 120211103117520 its reverse (25711301112021), we get a palindrome (145922404229541).

The spelling of 120211103117520 in words is "one hundred twenty trillion, two hundred eleven billion, one hundred three million, one hundred seventeen thousand, five hundred twenty".