114312142012200 has 192 divisors, whose sum is σ = 386623645128000. Its totient is φ = 27709112217600.

The previous prime is 114312142012199. The next prime is 114312142012213. The reversal of 114312142012200 is 2210241213411.

It is a super-2 number, since 2×114312142012200² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62009376 + ... + 63826224.

It is an arithmetic number, because the mean of its divisors is an integer number (2013664818375).

Almost surely, 2^{114312142012200} is an apocalyptic number.

114312142012200 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 114312142012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193311822564000).

114312142012200 is an abundant number, since it is smaller than the sum of its proper divisors (272311503115800).

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

114312142012200 is a wasteful number, since it uses less digits than its factorization.

114312142012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826412 (or 1826403 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 114312142012200 its reverse (2210241213411), we get a palindrome (116522383225611).

The spelling of 114312142012200 in words is "one hundred fourteen trillion, three hundred twelve billion, one hundred forty-two million, twelve thousand, two hundred".