114201312 has 48 divisors (see below), whose sum is σ = 300382992. Its totient is φ = 37990400.

The previous prime is 114201259. The next prime is 114201331. The reversal of 114201312 is 213102411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 114201291 and 114201300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66448 + ... + 68144.

It is an arithmetic number, because the mean of its divisors is an integer number (6257979).

Almost surely, 2^114201312 is an apocalyptic number.

114201312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114201312 is an abundant number, since it is smaller than the sum of its proper divisors (186181680).

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

114201312 is a wasteful number, since it uses less digits than its factorization.

114201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 114201312 is about 10686.5013919430. The cubic root of 114201312 is about 485.1660068702.

Adding to 114201312 its reverse (213102411), we get a palindrome (327303723).

The spelling of 114201312 in words is "one hundred fourteen million, two hundred one thousand, three hundred twelve".