114212303119200 has 1152 divisors, whose sum is σ = 438649618627584. Its totient is φ = 25447403520000.

The previous prime is 114212303119193. The next prime is 114212303119253. The reversal of 114212303119200 is 2911303212411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 157100829237 + ... + 157100829963.

It is an arithmetic number, because the mean of its divisors is an integer number (380772238392).

Almost surely, 2^{114212303119200} is an apocalyptic number.

114212303119200 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 114212303119200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219324809313792).

114212303119200 is an abundant number, since it is smaller than the sum of its proper divisors (324437315508384).

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

114212303119200 is a wasteful number, since it uses less digits than its factorization.

114212303119200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 114212303119200 in words is "one hundred fourteen trillion, two hundred twelve billion, three hundred three million, one hundred nineteen thousand, two hundred".