120212102112120 has 192 divisors, whose sum is σ = 408819231868320. Its totient is φ = 30601673137152.

The previous prime is 120212102112077. The next prime is 120212102112121. The reversal of 120212102112120 is 21211201212021.

120212102112120 is a `hidden beast` number, since 1 + 20 + 212 + 10 + 211 + 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 = 120212102112093 and 120212102112102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120212102112121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84434914 + ... + 85846833.

Almost surely, 2^{120212102112120} is an apocalyptic number.

120212102112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120212102112120 is an abundant number, since it is smaller than the sum of its proper divisors (288607129756200).

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

120212102112120 is a wasteful number, since it uses less digits than its factorization.

120212102112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170281854 (or 170281847 counting only the distinct ones).

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

Adding to 120212102112120 its reverse (21211201212021), we get a palindrome (141423303324141).

Subtracting from 120212102112120 its reverse (21211201212021), we obtain a palindrome (99000900900099).

The spelling of 120212102112120 in words is "one hundred twenty trillion, two hundred twelve billion, one hundred two million, one hundred twelve thousand, one hundred twenty".