121133220012032 has 112 divisors (see below), whose sum is σ = 248831576597472. Its totient is φ = 58921957785600.

The previous prime is 121133220012001. The next prime is 121133220012037. The reversal of 121133220012032 is 230210022331121.

It is a junction number, because it is equal to n+sod(n) for n = 121133220011989 and 121133220012007.

It is not an unprimeable number, because it can be changed into a prime (121133220012037) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2813692907 + ... + 2813735957.

Almost surely, 2^{121133220012032} 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 121133220012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124415788298736).

121133220012032 is an abundant number, since it is smaller than the sum of its proper divisors (127698356585440).

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

121133220012032 is an frugal number, since it uses more digits than its factorization.

121133220012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52397 (or 52373 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 121133220012032 its reverse (230210022331121), we get a palindrome (351343242343153).

The spelling of 121133220012032 in words is "one hundred twenty-one trillion, one hundred thirty-three billion, two hundred twenty million, twelve thousand, thirty-two".