220211122001000 has 64 divisors (see below), whose sum is σ = 554932027475280. Its totient is φ = 81308721964800.

The previous prime is 220211122000907. The next prime is 220211122001033. The reversal of 220211122001000 is 100221112022.

220211122001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8251474561444 + 211959647439556 = 2872538^2 + 14558834^2 .

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, 8469645539 + ... + 8469671538.

Almost surely, 2^{220211122001000} is an apocalyptic number.

220211122001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220211122001000 is an abundant number, since it is smaller than the sum of its proper divisors (334720905474280).

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

220211122001000 is a wasteful number, since it uses less digits than its factorization.

220211122001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16939317111 (or 16939317097 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220211122001000 its reverse (100221112022), we get a palindrome (220311343113022).

The spelling of 220211122001000 in words is "two hundred twenty trillion, two hundred eleven billion, one hundred twenty-two million, one thousand".