213122221312 has 432 divisors, whose sum is σ = 587635283200. Its totient is φ = 76597678080.

The previous prime is 213122221307. The next prime is 213122221313.

213122221312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213122221312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213122221313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138121213 + ... + 138122755.

Almost surely, 2^213122221312 is an apocalyptic number.

213122221312 is a gapful number since it is divisible by the number (22) 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 213122221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293817641600).

213122221312 is an abundant number, since it is smaller than the sum of its proper divisors (374513061888).

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

213122221312 is a wasteful number, since it uses less digits than its factorization.

213122221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1576 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

Multiplying 213122221312 by its sum of digits (22), we get a palindrome (4688688868864).

It can be divided in two parts, 213122 and 221312, that added together give a palindrome (434434).

The spelling of 213122221312 in words is "two hundred thirteen billion, one hundred twenty-two million, two hundred twenty-one thousand, three hundred twelve".