121242128 has 80 divisors (see below), whose sum is σ = 276839424. Its totient is φ = 50371200.

The previous prime is 121242101. The next prime is 121242137. The reversal of 121242128 is 821242121.

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 15 ways as a sum of consecutive naturals, for example, 802853 + ... + 803003.

Almost surely, 2^121242128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121242128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138419712).

121242128 is an abundant number, since it is smaller than the sum of its proper divisors (155597296).

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

121242128 is a wasteful number, since it uses less digits than its factorization.

121242128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

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

The square root of 121242128 is about 11011.0003178639. Note that the first 3 decimals coincide. The cubic root of 121242128 is about 494.9384380808.

Adding to 121242128 its reverse (821242121), we get a palindrome (942484249).

The spelling of 121242128 in words is "one hundred twenty-one million, two hundred forty-two thousand, one hundred twenty-eight".