121912128 has 224 divisors, whose sum is σ = 396565120. Its totient is φ = 36951552.

The previous prime is 121912097. The next prime is 121912169. The reversal of 121912128 is 821219121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

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, 1819551 + ... + 1819617.

It is an arithmetic number, because the mean of its divisors is an integer number (1770380).

Almost surely, 2^121912128 is an apocalyptic number.

121912128 is a gapful number since it is divisible by the number (18) 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 121912128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198282560).

121912128 is an abundant number, since it is smaller than the sum of its proper divisors (274652992).

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

121912128 is an frugal number, since it uses more digits than its factorization.

121912128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 85 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The square root of 121912128 is about 11041.3825221301. The cubic root of 121912128 is about 495.8484622050.

The spelling of 121912128 in words is "one hundred twenty-one million, nine hundred twelve thousand, one hundred twenty-eight".