120100012122112 has 224 divisors, whose sum is σ = 265226248108800. Its totient is φ = 53925494784000.

The previous prime is 120100012122061. The next prime is 120100012122119. The reversal of 120100012122112 is 211221210001021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100012122119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3995460939 + ... + 3995490997.

Almost surely, 2^{120100012122112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120100012122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132613124054400).

120100012122112 is an abundant number, since it is smaller than the sum of its proper divisors (145126235986688).

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

120100012122112 is a wasteful number, since it uses less digits than its factorization.

120100012122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30636 (or 30612 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120100012122112 its reverse (211221210001021), we get a palindrome (331321222123133).

The spelling of 120100012122112 in words is "one hundred twenty trillion, one hundred billion, twelve million, one hundred twenty-two thousand, one hundred twelve".