2122221312 has 216 divisors, whose sum is σ = 6472514048. Its totient is φ = 667699200.

The previous prime is 2122221307. The next prime is 2122221329. The reversal of 2122221312 is 2131222212.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3070887 + ... + 3071577.

Almost surely, 2^2122221312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236257024).

2122221312 is an abundant number, since it is smaller than the sum of its proper divisors (4350292736).

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

2122221312 is a wasteful number, since it uses less digits than its factorization.

2122221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 770 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2122221312 is about 46067.5733244112. The cubic root of 2122221312 is about 1285.0801752677.

Adding to 2122221312 its reverse (2131222212), we get a palindrome (4253443524).

The spelling of 2122221312 in words is "two billion, one hundred twenty-two million, two hundred twenty-one thousand, three hundred twelve".