121056768 has 240 divisors, whose sum is σ = 417056640. Its totient is φ = 34338816.

The previous prime is 121056763. The next prime is 121056791. The reversal of 121056768 is 867650121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121056763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 870843 + ... + 870981.

It is an arithmetic number, because the mean of its divisors is an integer number (1737736).

Almost surely, 2^121056768 is an apocalyptic number.

121056768 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 121056768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208528320).

121056768 is an abundant number, since it is smaller than the sum of its proper divisors (295999872).

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

121056768 is an frugal number, since it uses more digits than its factorization.

121056768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 121056768 is about 11002.5800610584. The cubic root of 121056768 is about 494.6860819539.

The spelling of 121056768 in words is "one hundred twenty-one million, fifty-six thousand, seven hundred sixty-eight".