120112102211220 has 144 divisors (see below), whose sum is σ = 417459030468480. Its totient is φ = 27383618343168.

The previous prime is 120112102211183. The next prime is 120112102211279. The reversal of 120112102211220 is 22112201211021.

120112102211220 is a `hidden beast` number, since 1 + 2 + 0 + 11 + 210 + 221 + 1 + 220 = 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 = 120112102211193 and 120112102211202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122038222 + ... + 123018501.

It is an arithmetic number, because the mean of its divisors is an integer number (2899021044920).

Almost surely, 2^{120112102211220} is an apocalyptic number.

120112102211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120112102211220 is an abundant number, since it is smaller than the sum of its proper divisors (297346928257260).

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

120112102211220 is a wasteful number, since it uses less digits than its factorization.

120112102211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245057134 (or 245057129 counting only the distinct ones).

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

Adding to 120112102211220 its reverse (22112201211021), we get a palindrome (142224303422241).

The spelling of 120112102211220 in words is "one hundred twenty trillion, one hundred twelve billion, one hundred two million, two hundred eleven thousand, two hundred twenty".