120011010112120 has 64 divisors (see below), whose sum is σ = 275595901747200. Its totient is φ = 47023550421120.

The previous prime is 120011010112061. The next prime is 120011010112121. The reversal of 120011010112120 is 21211010110021.

It is a happy number.

It is a super-4 number, since 4×120011010112120⁴ (a number of 57 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120011010112120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120011010112121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149119026 + ... + 149921665.

It is an arithmetic number, because the mean of its divisors is an integer number (4306185964800).

Almost surely, 2^{120011010112120} is an apocalyptic number.

120011010112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120011010112120 is an abundant number, since it is smaller than the sum of its proper divisors (155584891635080).

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

120011010112120 is a wasteful number, since it uses less digits than its factorization.

120011010112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299040908 (or 299040904 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 120011010112120 its reverse (21211010110021), we get a palindrome (141222020222141).

The spelling of 120011010112120 in words is "one hundred twenty trillion, eleven billion, ten million, one hundred twelve thousand, one hundred twenty".