221412313122 has 256 divisors, whose sum is σ = 627439841280. Its totient is φ = 50164531200.

The previous prime is 221412313097. The next prime is 221412313147. The reversal of 221412313122 is 221313214122.

It is an interprime number because it is at equal distance from previous prime (221412313097) and next prime (221412313147).

It is a junction number, because it is equal to n+sod(n) for n = 221412313092 and 221412313101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49409122 + ... + 49413602.

It is an arithmetic number, because the mean of its divisors is an integer number (2450936880).

Almost surely, 2^221412313122 is an apocalyptic number.

221412313122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221412313122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313719920640).

221412313122 is an abundant number, since it is smaller than the sum of its proper divisors (406027528158).

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

221412313122 is a wasteful number, since it uses less digits than its factorization.

221412313122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4969.

The product of its digits is 1152, while the sum is 24.

Adding to 221412313122 its reverse (221313214122), we get a palindrome (442725527244).

The spelling of 221412313122 in words is "two hundred twenty-one billion, four hundred twelve million, three hundred thirteen thousand, one hundred twenty-two".