120120100011120 has 160 divisors (see below), whose sum is σ = 407669978951424. Its totient is φ = 29016394086400.

The previous prime is 120120100011101. The next prime is 120120100011139. The reversal of 120120100011120 is 21110001021021.

It is an interprime number because it is at equal distance from previous prime (120120100011101) and next prime (120120100011139).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120120100011096 and 120120100011105.

It is a congruent number.

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, 80219082 + ... + 81702761.

Almost surely, 2^{120120100011120} is an apocalyptic number.

120120100011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120120100011120 is an abundant number, since it is smaller than the sum of its proper divisors (287549878940304).

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

120120100011120 is a wasteful number, since it uses less digits than its factorization.

120120100011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161922151 (or 161922145 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120120100011120 its reverse (21110001021021), we get a palindrome (141230101032141).

The spelling of 120120100011120 in words is "one hundred twenty trillion, one hundred twenty billion, one hundred million, eleven thousand, one hundred twenty".