121595936 has 96 divisors (see below), whose sum is σ = 303730560. Its totient is φ = 46540800.

The previous prime is 121595911. The next prime is 121595987. The reversal of 121595936 is 639595121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121595893 and 121595902.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 149900 + ... + 150708.

It is an arithmetic number, because the mean of its divisors is an integer number (3163860).

Almost surely, 2^121595936 is an apocalyptic number.

121595936 is a gapful number since it is divisible by the number (16) 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 121595936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151865280).

121595936 is an abundant number, since it is smaller than the sum of its proper divisors (182134624).

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

121595936 is a wasteful number, since it uses less digits than its factorization.

121595936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 890 counting only the distinct ones).

The product of its digits is 72900, while the sum is 41.

The square root of 121595936 is about 11027.0547291650. The cubic root of 121595936 is about 495.4194125830.

The spelling of 121595936 in words is "one hundred twenty-one million, five hundred ninety-five thousand, nine hundred thirty-six".