114312220 has 48 divisors (see below), whose sum is σ = 263138400. Its totient is φ = 41368320.

The previous prime is 114312217. The next prime is 114312239. The reversal of 114312220 is 22213411.

It is a junction number, because it is equal to n+sod(n) for n = 114312194 and 114312203.

It is a congruent number.

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, 49246 + ... + 51514.

It is an arithmetic number, because the mean of its divisors is an integer number (5482050).

Almost surely, 2^114312220 is an apocalyptic number.

114312220 is a gapful number since it is divisible by the number (10) 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 114312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131569200).

114312220 is an abundant number, since it is smaller than the sum of its proper divisors (148826180).

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

114312220 is a wasteful number, since it uses less digits than its factorization.

114312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 114312220 is about 10691.6892958971. The cubic root of 114312220 is about 485.3230143538.

Adding to 114312220 its reverse (22213411), we get a palindrome (136525631).

The spelling of 114312220 in words is "one hundred fourteen million, three hundred twelve thousand, two hundred twenty".