2204121068160 has 1024 divisors, whose sum is σ = 8439137280000. Its totient is φ = 483172024320.

The previous prime is 2204121068117. The next prime is 2204121068161. The reversal of 2204121068160 is 618601214022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2204121068161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1102610841 + ... + 1102612839.

It is an arithmetic number, because the mean of its divisors is an integer number (8241345000).

Almost surely, 2^{2204121068160} is an apocalyptic number.

2204121068160 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 2204121068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219568640000).

2204121068160 is an abundant number, since it is smaller than the sum of its proper divisors (6235016211840).

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

2204121068160 is a wasteful number, since it uses less digits than its factorization.

2204121068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 2204121068160 in words is "two trillion, two hundred four billion, one hundred twenty-one million, sixty-eight thousand, one hundred sixty".