121996584 has 128 divisors (see below), whose sum is σ = 353548800. Its totient is φ = 38949120.

The previous prime is 121996583. The next prime is 121996597. The reversal of 121996584 is 485699121.

121996584 is nontrivially palindromic in base 11.

Its product of digits (155520) is a multiple of the sum of its prime factors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121996583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 619174 + ... + 619370.

It is an arithmetic number, because the mean of its divisors is an integer number (2762100).

Almost surely, 2^121996584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121996584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176774400).

121996584 is an abundant number, since it is smaller than the sum of its proper divisors (231552216).

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

121996584 is a wasteful number, since it uses less digits than its factorization.

121996584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 121996584 is about 11045.2063810506. The cubic root of 121996584 is about 495.9629373104.

The spelling of 121996584 in words is "one hundred twenty-one million, nine hundred ninety-six thousand, five hundred eighty-four".