2012111221120 has 256 divisors, whose sum is σ = 6458456954880. Its totient is φ = 578908938240.

The previous prime is 2012111221111. The next prime is 2012111221157. The reversal of 2012111221120 is 211221112102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2012111221094 and 2012111221103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 929752 + ... + 2211031.

It is an arithmetic number, because the mean of its divisors is an integer number (25228347480).

Almost surely, 2^{2012111221120} is an apocalyptic number.

2012111221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012111221120 is an abundant number, since it is smaller than the sum of its proper divisors (4446345733760).

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

2012111221120 is a wasteful number, since it uses less digits than its factorization.

2012111221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140833 (or 3140821 counting only the distinct ones).

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

Adding to 2012111221120 its reverse (211221112102), we get a palindrome (2223332333222).

The spelling of 2012111221120 in words is "two trillion, twelve billion, one hundred eleven million, two hundred twenty-one thousand, one hundred twenty".