200414342122300 has 144 divisors (see below), whose sum is σ = 442107064586880. Its totient is φ = 78846756567040.

The previous prime is 200414342122279. The next prime is 200414342122321. The reversal of 200414342122300 is 3221243414002.

200414342122300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200414342122279) and next prime (200414342122321).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12706157214 + ... + 12706172986.

It is an arithmetic number, because the mean of its divisors is an integer number (3070187948520).

Almost surely, 2^{200414342122300} is an apocalyptic number.

200414342122300 is a gapful number since it is divisible by the number (20) 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 200414342122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221053532293440).

200414342122300 is an abundant number, since it is smaller than the sum of its proper divisors (241692722464580).

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

200414342122300 is a wasteful number, since it uses less digits than its factorization.

200414342122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23320 (or 23313 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 200414342122300 its reverse (3221243414002), we get a palindrome (203635585536302).

The spelling of 200414342122300 in words is "two hundred trillion, four hundred fourteen billion, three hundred forty-two million, one hundred twenty-two thousand, three hundred".