122031242112 has 128 divisors (see below), whose sum is σ = 349956018720. Its totient is φ = 37453824000.

The previous prime is 122031242087. The next prime is 122031242147. The reversal of 122031242112 is 211242130221.

It is a happy number.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1971312 + ... + 2032272.

Almost surely, 2^122031242112 is an apocalyptic number.

122031242112 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 122031242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174978009360).

122031242112 is an abundant number, since it is smaller than the sum of its proper divisors (227924776608).

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

122031242112 is a wasteful number, since it uses less digits than its factorization.

122031242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61392 (or 61380 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 122031242112 its reverse (211242130221), we get a palindrome (333273372333).

The spelling of 122031242112 in words is "one hundred twenty-two billion, thirty-one million, two hundred forty-two thousand, one hundred twelve".