2202221121120 has 288 divisors, whose sum is σ = 7760865752640. Its totient is φ = 568227778560.

The previous prime is 2202221121103. The next prime is 2202221121137. The reversal of 2202221121120 is 211211222022.

It is a happy number.

2202221121120 is a `hidden beast` number, since 2 + 202 + 221 + 121 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (2202221121103) and next prime (2202221121137).

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 = 2202221121093 and 2202221121102.

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, 9529501 + ... + 9757859.

It is an arithmetic number, because the mean of its divisors is an integer number (26947450530).

Almost surely, 2^{2202221121120} is an apocalyptic number.

2202221121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202221121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880432876320).

2202221121120 is an abundant number, since it is smaller than the sum of its proper divisors (5558644631520).

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

2202221121120 is a wasteful number, since it uses less digits than its factorization.

2202221121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228598 (or 228587 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2202221121120 its reverse (211211222022), we get a palindrome (2413432343142).

The spelling of 2202221121120 in words is "two trillion, two hundred two billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".