121331322144032 has 192 divisors, whose sum is σ = 320858574962688. Its totient is φ = 43617052800000.

The previous prime is 121331322143953. The next prime is 121331322144041. The reversal of 121331322144032 is 230441223133121.

It is a super-2 number, since 2×121331322144032² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 121331322144032.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74501657 + ... + 76112807.

It is an arithmetic number, because the mean of its divisors is an integer number (1671138411264).

Almost surely, 2^{121331322144032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121331322144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160429287481344).

121331322144032 is an abundant number, since it is smaller than the sum of its proper divisors (199527252818656).

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

121331322144032 is a wasteful number, since it uses less digits than its factorization.

121331322144032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613543 (or 1613535 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 121331322144032 its reverse (230441223133121), we get a palindrome (351772545277153).

The spelling of 121331322144032 in words is "one hundred twenty-one trillion, three hundred thirty-one billion, three hundred twenty-two million, one hundred forty-four thousand, thirty-two".