121812768 has 192 divisors, whose sum is σ = 443197440. Its totient is φ = 31622400.

The previous prime is 121812751. The next prime is 121812793. The reversal of 121812768 is 867218121.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65613 + ... + 67443.

It is an arithmetic number, because the mean of its divisors is an integer number (2308320).

Almost surely, 2^121812768 is an apocalyptic number.

121812768 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 121812768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221598720).

121812768 is an abundant number, since it is smaller than the sum of its proper divisors (321384672).

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

121812768 is a wasteful number, since it uses less digits than its factorization.

121812768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1854 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 121812768 is about 11036.8821684387. The cubic root of 121812768 is about 495.7137179029.

The spelling of 121812768 in words is "one hundred twenty-one million, eight hundred twelve thousand, seven hundred sixty-eight".