123200123310 has 128 divisors (see below), whose sum is σ = 358576243200. Its totient is φ = 29852040960.

The previous prime is 123200123287. The next prime is 123200123311. The reversal of 123200123310 is 13321002321.

123200123310 is a `hidden beast` number, since 1 + 2 + 320 + 0 + 12 + 331 + 0 = 666.

It is a super-2 number, since 2×123200123310² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123200123311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6813061 + ... + 6831119.

It is an arithmetic number, because the mean of its divisors is an integer number (2801376900).

Almost surely, 2^123200123310 is an apocalyptic number.

123200123310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123200123310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179288121600).

123200123310 is an abundant number, since it is smaller than the sum of its proper divisors (235376119890).

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

123200123310 is a wasteful number, since it uses less digits than its factorization.

123200123310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20383 (or 20377 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 123200123310 its reverse (13321002321), we get a palindrome (136521125631).

The spelling of 123200123310 in words is "one hundred twenty-three billion, two hundred million, one hundred twenty-three thousand, three hundred ten".