123200313020343 has 192 divisors, whose sum is σ = 210848432054400. Its totient is φ = 70608851988480.

The previous prime is 123200313020303. The next prime is 123200313020377. The reversal of 123200313020343 is 343020313002321.

123200313020343 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 0 + 0 + 313 + 0 + 2 + 0 + 343 = 666.

It is not a de Polignac number, because 123200313020343 - 2⁸ = 123200313020087 is a prime.

It is a super-3 number, since 3×123200313020343³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123200313020303) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1044108793 + ... + 1044226781.

It is an arithmetic number, because the mean of its divisors is an integer number (1098168916950).

Almost surely, 2^{123200313020343} is an apocalyptic number.

123200313020343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

123200313020343 is a deficient number, since it is larger than the sum of its proper divisors (87648119034057).

123200313020343 is a wasteful number, since it uses less digits than its factorization.

123200313020343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118179 (or 118136 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 123200313020343 its reverse (343020313002321), we get a palindrome (466220626022664).

The spelling of 123200313020343 in words is "one hundred twenty-three trillion, two hundred billion, three hundred thirteen million, twenty thousand, three hundred forty-three".