114212120 has 64 divisors (see below), whose sum is σ = 296848800. Its totient is φ = 39086080.

The previous prime is 114212107. The next prime is 114212143. The reversal of 114212120 is 21212411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 114212095 and 114212104.

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, 155 + ... + 15114.

Almost surely, 2^114212120 is an apocalyptic number.

114212120 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 114212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148424400).

114212120 is an abundant number, since it is smaller than the sum of its proper divisors (182636680).

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

114212120 is a wasteful number, since it uses less digits than its factorization.

114212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15308 (or 15304 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 114212120 is about 10687.0070646557. The cubic root of 114212120 is about 485.1813117405.

Adding to 114212120 its reverse (21212411), we get a palindrome (135424531).

The spelling of 114212120 in words is "one hundred fourteen million, two hundred twelve thousand, one hundred twenty".