122110112013030 has 96 divisors (see below), whose sum is σ = 320908313576448. Its totient is φ = 32212280160000.

The previous prime is 122110112012957. The next prime is 122110112013049. The reversal of 122110112013030 is 30310211011221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122110112012994 and 122110112013012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4627032 + ... + 16298148.

It is an arithmetic number, because the mean of its divisors is an integer number (3342794933088).

Almost surely, 2^{122110112013030} is an apocalyptic number.

122110112013030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122110112013030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160454156788224).

122110112013030 is an abundant number, since it is smaller than the sum of its proper divisors (198798201563418).

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

122110112013030 is a wasteful number, since it uses less digits than its factorization.

122110112013030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11672382 (or 11672379 counting only the distinct ones).

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

Adding to 122110112013030 its reverse (30310211011221), we get a palindrome (152420323024251).

The spelling of 122110112013030 in words is "one hundred twenty-two trillion, one hundred ten billion, one hundred twelve million, thirteen thousand, thirty".