121332120 has 256 divisors, whose sum is σ = 460615680. Its totient is φ = 24883200.

The previous prime is 121332089. The next prime is 121332121. The reversal of 121332120 is 21233121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121332120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121332121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 447585 + ... + 447855.

It is an arithmetic number, because the mean of its divisors is an integer number (1799280).

Almost surely, 2^121332120 is an apocalyptic number.

121332120 is a gapful number since it is divisible by the number (10) 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 121332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230307840).

121332120 is an abundant number, since it is smaller than the sum of its proper divisors (339283560).

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

121332120 is a wasteful number, since it uses less digits than its factorization.

121332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 121332120 is about 11015.0860187290. The cubic root of 121332120 is about 495.0608638557.

121332120 divided by its sum of digits (15) gives a palindrome (8088808).

Adding to 121332120 its reverse (21233121), we get a palindrome (142565241).

It can be divided in two parts, 1213 and 32120, that added together give a palindrome (33333).

The spelling of 121332120 in words is "one hundred twenty-one million, three hundred thirty-two thousand, one hundred twenty".