128121224 has 64 divisors (see below), whose sum is σ = 312560640. Its totient is φ = 47741760.

The previous prime is 128121223. The next prime is 128121241. The reversal of 128121224 is 422121821.

It is a Harshad number since it is a multiple of its sum of digits (23).

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 128121224.

It is not an unprimeable number, because it can be changed into a prime (128121221) 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, 9647 + ... + 18689.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 2^128121224 is an apocalyptic number.

128121224 is a gapful number since it is divisible by the number (14) 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 128121224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156280320).

128121224 is an abundant number, since it is smaller than the sum of its proper divisors (184439416).

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

128121224 is a wasteful number, since it uses less digits than its factorization.

128121224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9090 (or 9086 counting only the distinct ones).

The product of its digits is 512, while the sum is 23.

The square root of 128121224 is about 11319.0646256659. The cubic root of 128121224 is about 504.1274662901.

The spelling of 128121224 in words is "one hundred twenty-eight million, one hundred twenty-one thousand, two hundred twenty-four".