121312121212032 has 128 divisors (see below), whose sum is σ = 322484120448000. Its totient is φ = 40406164291584.

The previous prime is 121312121212027. The next prime is 121312121212039. The reversal of 121312121212032 is 230212121213121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 121312121211993 and 121312121212011.

It is not an unprimeable number, because it can be changed into a prime (121312121212039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2848416594 + ... + 2848459182.

It is an arithmetic number, because the mean of its divisors is an integer number (2519407191000).

Almost surely, 2^{121312121212032} is an apocalyptic number.

121312121212032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121312121212032 is an abundant number, since it is smaller than the sum of its proper divisors (201171999235968).

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

121312121212032 is a wasteful number, since it uses less digits than its factorization.

121312121212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48158 (or 48146 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 121312121212032 its reverse (230212121213121), we get a palindrome (351524242425153).

The spelling of 121312121212032 in words is "one hundred twenty-one trillion, three hundred twelve billion, one hundred twenty-one million, two hundred twelve thousand, thirty-two".