122120100110112 has 192 divisors, whose sum is σ = 348608815027200. Its totient is φ = 37207083377664.

The previous prime is 122120100110089. The next prime is 122120100110117. The reversal of 122120100110112 is 211011001021221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122120100110091 and 122120100110100.

It is not an unprimeable number, because it can be changed into a prime (122120100110117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1571668639 + ... + 1571746337.

It is an arithmetic number, because the mean of its divisors is an integer number (1815670911600).

Almost surely, 2^{122120100110112} is an apocalyptic number.

122120100110112 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 122120100110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174304407513600).

122120100110112 is an abundant number, since it is smaller than the sum of its proper divisors (226488714917088).

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

122120100110112 is a wasteful number, since it uses less digits than its factorization.

122120100110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90055 (or 90047 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122120100110112 its reverse (211011001021221), we get a palindrome (333131101131333).

The spelling of 122120100110112 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred million, one hundred ten thousand, one hundred twelve".