121875632 has 80 divisors (see below), whose sum is σ = 260102400. Its totient is φ = 55157760.

The previous prime is 121875599. The next prime is 121875641. The reversal of 121875632 is 236578121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121875592 and 121875601.

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, 532094 + ... + 532322.

It is an arithmetic number, because the mean of its divisors is an integer number (3251280).

Almost surely, 2^121875632 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 121875632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130051200).

121875632 is an abundant number, since it is smaller than the sum of its proper divisors (138226768).

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

121875632 is a wasteful number, since it uses less digits than its factorization.

121875632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its digits is 20160, while the sum is 35.

The square root of 121875632 is about 11039.7297068361. The cubic root of 121875632 is about 495.7989776791.

The spelling of 121875632 in words is "one hundred twenty-one million, eight hundred seventy-five thousand, six hundred thirty-two".