114242013002000 has 80 divisors (see below), whose sum is σ = 297486201924912. Its totient is φ = 42181666329600.

The previous prime is 114242013001973. The next prime is 114242013002009. The reversal of 114242013002000 is 200310242411.

It can be written as a sum of positive squares in 8 ways, for example, as 93791322206464 + 20450690795536 = 9684592^2 + 4522244^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (114242013002009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2196935789 + ... + 2196987788.

Almost surely, 2^{114242013002000} is an apocalyptic number.

114242013002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114242013002000 is an abundant number, since it is smaller than the sum of its proper divisors (183244188922912).

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

114242013002000 is a wasteful number, since it uses less digits than its factorization.

114242013002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4393923613 (or 4393923597 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 114242013002000 its reverse (200310242411), we get a palindrome (114442323244411).

The spelling of 114242013002000 in words is "one hundred fourteen trillion, two hundred forty-two billion, thirteen million, two thousand".