20121120013128 has 32 divisors (see below), whose sum is σ = 50305751885760. Its totient is φ = 6706646424000.

The previous prime is 20121120013061. The next prime is 20121120013129. The reversal of 20121120013128 is 82131002112102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20121120013098 and 20121120013107.

It is not an unprimeable number, because it can be changed into a prime (20121120013129) 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, 24181123 + ... + 24999378.

It is an arithmetic number, because the mean of its divisors is an integer number (1572054746430).

Almost surely, 2^{20121120013128} is an apocalyptic number.

It is an amenable number.

20121120013128 is an abundant number, since it is smaller than the sum of its proper divisors (30184631872632).

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

20121120013128 is a wasteful number, since it uses less digits than its factorization.

20121120013128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49197557 (or 49197553 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The spelling of 20121120013128 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty million, thirteen thousand, one hundred twenty-eight".