121100120001312 has 48 divisors (see below), whose sum is σ = 318360159623520. Its totient is φ = 40306726397952.

The previous prime is 121100120001191. The next prime is 121100120001331. The reversal of 121100120001312 is 213100021001121.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 121100120001291 and 121100120001300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 937126762 + ... + 937255977.

It is an arithmetic number, because the mean of its divisors is an integer number (6632503325490).

Almost surely, 2^{121100120001312} is an apocalyptic number.

121100120001312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121100120001312 is an abundant number, since it is smaller than the sum of its proper divisors (197260039622208).

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

121100120001312 is a wasteful number, since it uses less digits than its factorization.

121100120001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874383425 (or 1874383417 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 121100120001312 its reverse (213100021001121), we get a palindrome (334200141002433).

The spelling of 121100120001312 in words is "one hundred twenty-one trillion, one hundred billion, one hundred twenty million, one thousand, three hundred twelve".