114121224 has 160 divisors (see below), whose sum is σ = 369969600. Its totient is φ = 32192640.

The previous prime is 114121181. The next prime is 114121237. The reversal of 114121224 is 422121411.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 = 114121197 and 114121206.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 630414 + ... + 630594.

It is an arithmetic number, because the mean of its divisors is an integer number (2312310).

Almost surely, 2^114121224 is an apocalyptic number.

114121224 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 114121224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184984800).

114121224 is an abundant number, since it is smaller than the sum of its proper divisors (255848376).

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

114121224 is a wasteful number, since it uses less digits than its factorization.

114121224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 332 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 114121224 is about 10682.7535776128. The cubic root of 114121224 is about 485.0525666622.

Adding to 114121224 its reverse (422121411), we get a palindrome (536242635).

The spelling of 114121224 in words is "one hundred fourteen million, one hundred twenty-one thousand, two hundred twenty-four".