2122201011312 has 80 divisors (see below), whose sum is σ = 6091681392160. Its totient is φ = 707379609600.

The previous prime is 2122201011199. The next prime is 2122201011331. The reversal of 2122201011312 is 2131101022212.

2122201011312 is a `hidden beast` number, since 212 + 220 + 101 + 131 + 2 = 666.

It is a super-2 number, since 2×2122201011312² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23984112 + ... + 24072432.

It is an arithmetic number, because the mean of its divisors is an integer number (76146017402).

Almost surely, 2^{2122201011312} is an apocalyptic number.

It is an amenable number.

2122201011312 is an abundant number, since it is smaller than the sum of its proper divisors (3969480380848).

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

2122201011312 is a wasteful number, since it uses less digits than its factorization.

2122201011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143959 (or 143947 counting only the distinct ones).

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

Adding to 2122201011312 its reverse (2131101022212), we get a palindrome (4253302033524).

The spelling of 2122201011312 in words is "two trillion, one hundred twenty-two billion, two hundred one million, eleven thousand, three hundred twelve".