114142342200000 has 672 divisors, whose sum is σ = 384242862882816. Its totient is φ = 29897280000000.

The previous prime is 114142342199971. The next prime is 114142342200013. The reversal of 114142342200000 is 2243241411.

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 95 ways as a sum of consecutive naturals, for example, 7696192585 + ... + 7696207415.

It is an arithmetic number, because the mean of its divisors is an integer number (571789974528).

Almost surely, 2^{114142342200000} is an apocalyptic number.

114142342200000 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 114142342200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192121431441408).

114142342200000 is an abundant number, since it is smaller than the sum of its proper divisors (270100520682816).

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

114142342200000 is a wasteful number, since it uses less digits than its factorization.

114142342200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15099 (or 15069 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 114142342200000 its reverse (2243241411), we get a palindrome (114144585441411).

The spelling of 114142342200000 in words is "one hundred fourteen trillion, one hundred forty-two billion, three hundred forty-two million, two hundred thousand".