121683432 has 128 divisors (see below), whose sum is σ = 353525760. Its totient is φ = 34594560.

The previous prime is 121683431. The next prime is 121683437. The reversal of 121683432 is 234386121.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 121683432.

It is not an unprimeable number, because it can be changed into a prime (121683431) 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, 222183 + ... + 222729.

It is an arithmetic number, because the mean of its divisors is an integer number (2761920).

Almost surely, 2^121683432 is an apocalyptic number.

121683432 is a gapful number since it is divisible by the number (12) 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 121683432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176762880).

121683432 is an abundant number, since it is smaller than the sum of its proper divisors (231842328).

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

121683432 is a wasteful number, since it uses less digits than its factorization.

121683432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 619 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 121683432 is about 11031.0213489051. The cubic root of 121683432 is about 495.5382126720.

It can be divided in two parts, 1216 and 83432, that added together give a palindrome (84648).

The spelling of 121683432 in words is "one hundred twenty-one million, six hundred eighty-three thousand, four hundred thirty-two".