121838336 has 72 divisors (see below), whose sum is σ = 263308080. Its totient is φ = 56070144.

The previous prime is 121838333. The next prime is 121838341. The reversal of 121838336 is 633838121.

It is a junction number, because it is equal to n+sod(n) for n = 121838296 and 121838305.

It is not an unprimeable number, because it can be changed into a prime (121838333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179630 + ... + 180306.

Almost surely, 2^121838336 is an apocalyptic number.

121838336 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 121838336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131654040).

121838336 is an abundant number, since it is smaller than the sum of its proper divisors (141469744).

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

121838336 is an equidigital number, since it uses as much as digits as its factorization.

121838336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 735 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 121838336 is about 11038.0404057967. The cubic root of 121838336 is about 495.7483982348.

The spelling of 121838336 in words is "one hundred twenty-one million, eight hundred thirty-eight thousand, three hundred thirty-six".