120120002001120 has 192 divisors, whose sum is σ = 434501060232960. Its totient is φ = 27587368857600.

The previous prime is 120120002001073. The next prime is 120120002001187. The reversal of 120120002001120 is 21100200021021.

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 = 120120002001096 and 120120002001105.

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, 598583901 + ... + 598784540.

It is an arithmetic number, because the mean of its divisors is an integer number (2263026355380).

Almost surely, 2^{120120002001120} is an apocalyptic number.

120120002001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120120002001120 is an abundant number, since it is smaller than the sum of its proper divisors (314381058231840).

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

120120002001120 is a wasteful number, since it uses less digits than its factorization.

120120002001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197368489 (or 1197368481 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120120002001120 its reverse (21100200021021), we get a palindrome (141220202022141).

The spelling of 120120002001120 in words is "one hundred twenty trillion, one hundred twenty billion, two million, one thousand, one hundred twenty".