121177728 has 128 divisors (see below), whose sum is σ = 408816000. Its totient is φ = 34615296.

The previous prime is 121177723. The next prime is 121177783. The reversal of 121177728 is 827771121.

It is a tau number, because it is divible by the number of its divisors (128).

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 junction number, because it is equal to n+sod(n) for n = 121177692 and 121177701.

It is not an unprimeable number, because it can be changed into a prime (121177723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21688 + ... + 26696.

It is an arithmetic number, because the mean of its divisors is an integer number (3193875).

Almost surely, 2^121177728 is an apocalyptic number.

121177728 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 121177728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204408000).

121177728 is an abundant number, since it is smaller than the sum of its proper divisors (287638272).

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

121177728 is an equidigital number, since it uses as much as digits as its factorization.

121177728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5039 (or 5021 counting only the distinct ones).

The product of its digits is 10976, while the sum is 36.

The square root of 121177728 is about 11008.0755811359. The cubic root of 121177728 is about 494.8507906569.

The spelling of 121177728 in words is "one hundred twenty-one million, one hundred seventy-seven thousand, seven hundred twenty-eight".