121513920 has 224 divisors, whose sum is σ = 433645056. Its totient is φ = 28569600.

The previous prime is 121513919. The next prime is 121513921. The reversal of 121513920 is 29315121.

It is an interprime number because it is at equal distance from previous prime (121513919) and next prime (121513921).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121513921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390565 + ... + 390875.

Almost surely, 2^121513920 is an apocalyptic number.

121513920 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 121513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216822528).

121513920 is an abundant number, since it is smaller than the sum of its proper divisors (312131136).

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

121513920 is a wasteful number, since it uses less digits than its factorization.

121513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 121513920 is about 11023.3352484627. The cubic root of 121513920 is about 495.3080013556.

The spelling of 121513920 in words is "one hundred twenty-one million, five hundred thirteen thousand, nine hundred twenty".