2013221121120 has 288 divisors, whose sum is σ = 7668970493184. Its totient is φ = 476703360000.

The previous prime is 2013221121083. The next prime is 2013221121181. The reversal of 2013221121120 is 211211223102.

2013221121120 is a `hidden beast` number, since 201 + 3 + 221 + 121 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 2013221121093 and 2013221121102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 796756 + ... + 2158995.

It is an arithmetic number, because the mean of its divisors is an integer number (26628369768).

Almost surely, 2^{2013221121120} is an apocalyptic number.

2013221121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013221121120 is an abundant number, since it is smaller than the sum of its proper divisors (5655749372064).

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

2013221121120 is a wasteful number, since it uses less digits than its factorization.

2013221121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955826 (or 2955815 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2013221121120 its reverse (211211223102), we get a palindrome (2224432344222).

The spelling of 2013221121120 in words is "two trillion, thirteen billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".