221312213122 has 96 divisors (see below), whose sum is σ = 464230920384. Its totient is φ = 77741596800.

The previous prime is 221312213039. The next prime is 221312213147.

221312213122 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 221312213093 and 221312213102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 418972 + ... + 786232.

It is an arithmetic number, because the mean of its divisors is an integer number (4835738754).

Almost surely, 2^221312213122 is an apocalyptic number.

221312213122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221312213122 is an abundant number, since it is smaller than the sum of its proper divisors (242918707262).

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

221312213122 is a wasteful number, since it uses less digits than its factorization.

221312213122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367344 (or 367337 counting only the distinct ones).

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

Multiplying 221312213122 by its sum of digits (22), we get a palindrome (4868868688684).

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

The spelling of 221312213122 in words is "two hundred twenty-one billion, three hundred twelve million, two hundred thirteen thousand, one hundred twenty-two".