122312221130112 has 128 divisors (see below), whose sum is σ = 350128382604000. Its totient is φ = 37608191115264.

The previous prime is 122312221130059. The next prime is 122312221130201. The reversal of 122312221130112 is 211031122213221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1439437 + ... + 15706572.

Almost surely, 2^{122312221130112} is an apocalyptic number.

122312221130112 is a gapful number since it is divisible by the number (12) 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 122312221130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175064191302000).

122312221130112 is an abundant number, since it is smaller than the sum of its proper divisors (227816161473888).

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

122312221130112 is a wasteful number, since it uses less digits than its factorization.

122312221130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17147468 (or 17147456 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 122312221130112 its reverse (211031122213221), we get a palindrome (333343343343333).

The spelling of 122312221130112 in words is "one hundred twenty-two trillion, three hundred twelve billion, two hundred twenty-one million, one hundred thirty thousand, one hundred twelve".