2221121001120 has 96 divisors (see below), whose sum is σ = 7996035616128. Its totient is φ = 507684799488.

The previous prime is 2221121001103. The next prime is 2221121001161. The reversal of 2221121001120 is 211001211222.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2221121001120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2221121001120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330520599 + ... + 330527318.

It is an arithmetic number, because the mean of its divisors is an integer number (83292037668).

Almost surely, 2^{2221121001120} is an apocalyptic number.

2221121001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221121001120 is an abundant number, since it is smaller than the sum of its proper divisors (5774914615008).

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

2221121001120 is a wasteful number, since it uses less digits than its factorization.

2221121001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661047942 (or 661047934 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2221121001120 its reverse (211001211222), we get a palindrome (2432122212342).

The spelling of 2221121001120 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-one million, one thousand, one hundred twenty".