120121220210112 has 336 divisors, whose sum is σ = 398979413164800. Its totient is φ = 35145179919360.

The previous prime is 120121220210111. The next prime is 120121220210161. The reversal of 120121220210112 is 211012022121021.

120121220210112 is a `hidden beast` number, since 1 + 2 + 0 + 121 + 220 + 210 + 112 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120121220210111) 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, 12228589 + ... + 19742867.

Almost surely, 2^{120121220210112} is an apocalyptic number.

120121220210112 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 120121220210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199489706582400).

120121220210112 is an abundant number, since it is smaller than the sum of its proper divisors (278858192954688).

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

120121220210112 is a wasteful number, since it uses less digits than its factorization.

120121220210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7514369 (or 7514324 counting only the distinct ones).

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

Adding to 120121220210112 its reverse (211012022121021), we get a palindrome (331133242331133).

The spelling of 120121220210112 in words is "one hundred twenty trillion, one hundred twenty-one billion, two hundred twenty million, two hundred ten thousand, one hundred twelve".