121352120 has 64 divisors (see below), whose sum is σ = 295332480. Its totient is φ = 44701696.

The previous prime is 121352111. The next prime is 121352129. The reversal of 121352120 is 21253121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121352111) and next prime (121352129).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121352129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30062 + ... + 33858.

It is an arithmetic number, because the mean of its divisors is an integer number (4614570).

Almost surely, 2^121352120 is an apocalyptic number.

121352120 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 121352120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147666240).

121352120 is an abundant number, since it is smaller than the sum of its proper divisors (173980360).

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

121352120 is a wasteful number, since it uses less digits than its factorization.

121352120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3872 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 121352120 is about 11015.9938271588. The cubic root of 121352120 is about 495.0880637796.

The spelling of 121352120 in words is "one hundred twenty-one million, three hundred fifty-two thousand, one hundred twenty".