121934736 has 180 divisors, whose sum is σ = 433324944. Its totient is φ = 31651200.

The previous prime is 121934731. The next prime is 121934737. The reversal of 121934736 is 637439121.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 121934736.

It is not an unprimeable number, because it can be changed into a prime (121934731) 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 35 ways as a sum of consecutive naturals, for example, 76831 + ... + 78401.

Almost surely, 2^121934736 is an apocalyptic number.

121934736 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 121934736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216662472).

121934736 is an abundant number, since it is smaller than the sum of its proper divisors (311390208).

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

121934736 is a wasteful number, since it uses less digits than its factorization.

121934736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1594 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 121934736 is about 11042.4062595070. The cubic root of 121934736 is about 495.8791111906.

The spelling of 121934736 in words is "one hundred twenty-one million, nine hundred thirty-four thousand, seven hundred thirty-six".