122711834112 has 160 divisors (see below), whose sum is σ = 382303840512. Its totient is φ = 34245033984.

The previous prime is 122711834107. The next prime is 122711834131. The reversal of 122711834112 is 211438117221.

It is a super-2 number, since 2×122711834112² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 329628 + ... + 595044.

Almost surely, 2^122711834112 is an apocalyptic number.

122711834112 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 122711834112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191151920256).

122711834112 is an abundant number, since it is smaller than the sum of its proper divisors (259592006400).

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

122711834112 is an equidigital number, since it uses as much as digits as its factorization.

122711834112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265488 (or 265472 counting only the distinct ones).

The product of its digits is 5376, while the sum is 33.

The spelling of 122711834112 in words is "one hundred twenty-two billion, seven hundred eleven million, eight hundred thirty-four thousand, one hundred twelve".