114122951996300 has 288 divisors, whose sum is σ = 293072887134720. Its totient is φ = 38166832281600.

The previous prime is 114122951996279. The next prime is 114122951996311. The reversal of 114122951996300 is 3699159221411.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1274203520 + ... + 1274293080.

It is an arithmetic number, because the mean of its divisors is an integer number (1017614191440).

Almost surely, 2^{114122951996300} is an apocalyptic number.

114122951996300 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 114122951996300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146536443567360).

114122951996300 is an abundant number, since it is smaller than the sum of its proper divisors (178949935138420).

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

114122951996300 is a wasteful number, since it uses less digits than its factorization.

114122951996300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91873 (or 91866 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 53.

The spelling of 114122951996300 in words is "one hundred fourteen trillion, one hundred twenty-two billion, nine hundred fifty-one million, nine hundred ninety-six thousand, three hundred".