121414128 has 80 divisors (see below), whose sum is σ = 344013696. Its totient is φ = 36593920.

The previous prime is 121414127. The next prime is 121414157. The reversal of 121414128 is 821414121.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 121414098 and 121414107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121414121) 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, 119350 + ... + 120362.

Almost surely, 2^121414128 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 121414128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172006848).

121414128 is an abundant number, since it is smaller than the sum of its proper divisors (222599568).

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

121414128 is a wasteful number, since it uses less digits than its factorization.

121414128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1256 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The square root of 121414128 is about 11018.8079210049. The cubic root of 121414128 is about 495.1723754320.

Adding to 121414128 its reverse (821414121), we get a palindrome (942828249).

The spelling of 121414128 in words is "one hundred twenty-one million, four hundred fourteen thousand, one hundred twenty-eight".