120211022120112 has 480 divisors, whose sum is σ = 429296159525376. Its totient is φ = 30490106572800.

The previous prime is 120211022120047. The next prime is 120211022120171. The reversal of 120211022120112 is 211021220112021.

120211022120112 is a `hidden beast` number, since 1 + 20 + 211 + 0 + 221 + 201 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2117369358 + ... + 2117426130.

Almost surely, 2^{120211022120112} is an apocalyptic number.

120211022120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120211022120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214648079762688).

120211022120112 is an abundant number, since it is smaller than the sum of its proper divisors (309085137405264).

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

120211022120112 is a wasteful number, since it uses less digits than its factorization.

120211022120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61289 (or 61280 counting only the distinct ones).

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

Adding to 120211022120112 its reverse (211021220112021), we get a palindrome (331232242232133).

The spelling of 120211022120112 in words is "one hundred twenty trillion, two hundred eleven billion, twenty-two million, one hundred twenty thousand, one hundred twelve".