114300021210304 has 112 divisors (see below), whose sum is σ = 240575541606400. Its totient is φ = 53730058116096.

The previous prime is 114300021210301. The next prime is 114300021210343. The reversal of 114300021210304 is 403012120003411.

It is a super-3 number, since 3×114300021210304³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (114300021210301) 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, 84819937 + ... + 86156959.

It is an arithmetic number, because the mean of its divisors is an integer number (2147995907200).

Almost surely, 2^{114300021210304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114300021210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120287770803200).

114300021210304 is an abundant number, since it is smaller than the sum of its proper divisors (126275520396096).

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

114300021210304 is a wasteful number, since it uses less digits than its factorization.

114300021210304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337590 (or 1337580 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 114300021210304 its reverse (403012120003411), we get a palindrome (517312141213715).

The spelling of 114300021210304 in words is "one hundred fourteen trillion, three hundred billion, twenty-one million, two hundred ten thousand, three hundred four".