121001332032 has 112 divisors (see below), whose sum is σ = 406538907520. Its totient is φ = 34571805696.

The previous prime is 121001332009. The next prime is 121001332117. The reversal of 121001332032 is 230233100121.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121001331996 and 121001332014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4989613 + ... + 5013804.

Almost surely, 2^121001332032 is an apocalyptic number.

121001332032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121001332032 is an abundant number, since it is smaller than the sum of its proper divisors (285537575488).

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

121001332032 is a wasteful number, since it uses less digits than its factorization.

121001332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10003445 (or 10003429 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 121001332032 its reverse (230233100121), we get a palindrome (351234432153).

The spelling of 121001332032 in words is "one hundred twenty-one billion, one million, three hundred thirty-two thousand, thirty-two".