122211112010112 has 128 divisors (see below), whose sum is σ = 360844669027200. Its totient is φ = 40719853232640.

The previous prime is 122211112010093. The next prime is 122211112010129. The reversal of 122211112010112 is 211010211112221.

It is a happy number.

122211112010112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (18).

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, 736983 + ... + 15651369.

It is an arithmetic number, because the mean of its divisors is an integer number (2819098976775).

Almost surely, 2^{122211112010112} is an apocalyptic number.

122211112010112 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 122211112010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180422334513600).

122211112010112 is an abundant number, since it is smaller than the sum of its proper divisors (238633557017088).

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

122211112010112 is a wasteful number, since it uses less digits than its factorization.

122211112010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14916781 (or 14916763 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122211112010112 its reverse (211010211112221), we get a palindrome (333221323122333).

The spelling of 122211112010112 in words is "one hundred twenty-two trillion, two hundred eleven billion, one hundred twelve million, ten thousand, one hundred twelve".