114315112202200 has 192 divisors, whose sum is σ = 330174264994560. Its totient is φ = 35840728005120.

The previous prime is 114315112202131. The next prime is 114315112202209. The reversal of 114315112202200 is 2202211513411.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114315112202209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27403302 + ... + 31298101.

It is an arithmetic number, because the mean of its divisors is an integer number (1719657630180).

Almost surely, 2^{114315112202200} is an apocalyptic number.

114315112202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114315112202200 is an abundant number, since it is smaller than the sum of its proper divisors (215859152792360).

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

114315112202200 is a wasteful number, since it uses less digits than its factorization.

114315112202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58701546 (or 58701537 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 114315112202200 its reverse (2202211513411), we get a palindrome (116517323715611).

The spelling of 114315112202200 in words is "one hundred fourteen trillion, three hundred fifteen billion, one hundred twelve million, two hundred two thousand, two hundred".