122133110112 has 144 divisors (see below), whose sum is σ = 381090488688. Its totient is φ = 36870312960.

The previous prime is 122133110101. The next prime is 122133110123. The reversal of 122133110112 is 211011331221.

122133110112 is a `hidden beast` number, since 1 + 221 + 331 + 1 + 0 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (122133110101) and next prime (122133110123).

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 109314 + ... + 506177.

It is an arithmetic number, because the mean of its divisors is an integer number (2646461727).

Almost surely, 2^122133110112 is an apocalyptic number.

122133110112 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 122133110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190545244344).

122133110112 is an abundant number, since it is smaller than the sum of its proper divisors (258957378576).

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

122133110112 is a wasteful number, since it uses less digits than its factorization.

122133110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615573 (or 615562 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 122133110112 its reverse (211011331221), we get a palindrome (333144441333).

The spelling of 122133110112 in words is "one hundred twenty-two billion, one hundred thirty-three million, one hundred ten thousand, one hundred twelve".