121100233332 has 72 divisors (see below), whose sum is σ = 306086649120. Its totient is φ = 37248032640.

The previous prime is 121100233313. The next prime is 121100233349. The reversal of 121100233332 is 233332001121.

It is a junction number, because it is equal to n+sod(n) for n = 121100233299 and 121100233308.

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 23 ways as a sum of consecutive naturals, for example, 6522919 + ... + 6541457.

It is an arithmetic number, because the mean of its divisors is an integer number (4251203460).

Almost surely, 2^121100233332 is an apocalyptic number.

121100233332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121100233332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153043324560).

121100233332 is an abundant number, since it is smaller than the sum of its proper divisors (184986415788).

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

121100233332 is a wasteful number, since it uses less digits than its factorization.

121100233332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21793 (or 21778 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 121100233332 its reverse (233332001121), we get a palindrome (354432234453).

The spelling of 121100233332 in words is "one hundred twenty-one billion, one hundred million, two hundred thirty-three thousand, three hundred thirty-two".