121113321312 has 48 divisors (see below), whose sum is σ = 318013903872. Its totient is φ = 40359496320.

The previous prime is 121113321283. The next prime is 121113321337. The reversal of 121113321312 is 213123311121.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157393 + ... + 516719.

It is an arithmetic number, because the mean of its divisors is an integer number (6625289664).

Almost surely, 2^121113321312 is an apocalyptic number.

121113321312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121113321312 is an abundant number, since it is smaller than the sum of its proper divisors (196900582560).

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

121113321312 is a wasteful number, since it uses less digits than its factorization.

121113321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362851 (or 362843 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

Adding to 121113321312 its reverse (213123311121), we get a palindrome (334236632433).

The spelling of 121113321312 in words is "one hundred twenty-one billion, one hundred thirteen million, three hundred twenty-one thousand, three hundred twelve".