121493520 has 100 divisors (see below), whose sum is σ = 421987500. Its totient is φ = 32396544.

The previous prime is 121493497. The next prime is 121493527. The reversal of 121493520 is 25394121.

121493520 is a `hidden beast` number, since 121 + 493 + 52 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61027344 + 60466176 = 7812^2 + 7776^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (121493527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2895 + ... + 15854.

It is an arithmetic number, because the mean of its divisors is an integer number (4219875).

Almost surely, 2^121493520 is an apocalyptic number.

121493520 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 121493520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210993750).

121493520 is an abundant number, since it is smaller than the sum of its proper divisors (300493980).

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

121493520 is a wasteful number, since it uses less digits than its factorization.

121493520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18774 (or 18759 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 121493520 is about 11022.4098998359. The cubic root of 121493520 is about 495.2802820383.

The spelling of 121493520 in words is "one hundred twenty-one million, four hundred ninety-three thousand, five hundred twenty".