122122110013120 has 224 divisors, whose sum is σ = 332748561628800. Its totient is φ = 41819828649984.

The previous prime is 122122110013103. The next prime is 122122110013121. The reversal of 122122110013120 is 21310011221221.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (122122110013121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7161318514 + ... + 7161335566.

Almost surely, 2^{122122110013120} is an apocalyptic number.

122122110013120 is a gapful number since it is divisible by the number (10) 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 122122110013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166374280814400).

122122110013120 is an abundant number, since it is smaller than the sum of its proper divisors (210626451615680).

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

122122110013120 is a wasteful number, since it uses less digits than its factorization.

122122110013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20755 (or 20745 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 122122110013120 its reverse (21310011221221), we get a palindrome (143432121234341).

The spelling of 122122110013120 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred ten million, thirteen thousand, one hundred twenty".