120011121002112 has 64 divisors (see below), whose sum is σ = 318781082998560. Its totient is φ = 40003513390080.

The previous prime is 120011121002111. The next prime is 120011121002137. The reversal of 120011121002112 is 211200121110021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 120011121002091 and 120011121002100.

It is not an unprimeable number, because it can be changed into a prime (120011121002111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94188678 + ... + 95454330.

Almost surely, 2^{120011121002112} is an apocalyptic number.

120011121002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120011121002112 is an abundant number, since it is smaller than the sum of its proper divisors (198769961996448).

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

120011121002112 is a wasteful number, since it uses less digits than its factorization.

120011121002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512601 (or 1512589 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 120011121002112 its reverse (211200121110021), we get a palindrome (331211242112133).

The spelling of 120011121002112 in words is "one hundred twenty trillion, eleven billion, one hundred twenty-one million, two thousand, one hundred twelve".