122100112001120 has 144 divisors (see below), whose sum is σ = 321801648671664. Its totient is φ = 43737353088000.

The previous prime is 122100112001117. The next prime is 122100112001171. The reversal of 122100112001120 is 21100211001221.

It is a junction number, because it is equal to n+sod(n) for n = 122100112001095 and 122100112001104.

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, 45768731 + ... + 48362970.

It is an arithmetic number, because the mean of its divisors is an integer number (2234733671331).

Almost surely, 2^{122100112001120} is an apocalyptic number.

122100112001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100112001120 is an abundant number, since it is smaller than the sum of its proper divisors (199701536670544).

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

122100112001120 is a wasteful number, since it uses less digits than its factorization.

122100112001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94131805 (or 94131786 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122100112001120 its reverse (21100211001221), we get a palindrome (143200323002341).

The spelling of 122100112001120 in words is "one hundred twenty-two trillion, one hundred billion, one hundred twelve million, one thousand, one hundred twenty".