121332113223120 has 120 divisors (see below), whose sum is σ = 408641227449000. Its totient is φ = 32262521730048.

The previous prime is 121332113223089. The next prime is 121332113223127. The reversal of 121332113223120 is 21322311233121.

121332113223120 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 3 + 21 + 1 + 322 + 312 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2108513093184 + 119223600129936 = 1452072^2 + 10918956^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×121332113223120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121332113223127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241176835 + ... + 241679394.

It is an arithmetic number, because the mean of its divisors is an integer number (3405343562075).

Almost surely, 2^{121332113223120} is an apocalyptic number.

121332113223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121332113223120 is an abundant number, since it is smaller than the sum of its proper divisors (287309114225880).

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

121332113223120 is a wasteful number, since it uses less digits than its factorization.

121332113223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482856597 (or 482856588 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 121332113223120 its reverse (21322311233121), we get a palindrome (142654424456241).

The spelling of 121332113223120 in words is "one hundred twenty-one trillion, three hundred thirty-two billion, one hundred thirteen million, two hundred twenty-three thousand, one hundred twenty".