123311122200 has 384 divisors, whose sum is σ = 490236480000. Its totient is φ = 27905472000.

The previous prime is 123311122171. The next prime is 123311122213. The reversal of 123311122200 is 2221113321.

123311122200 is a `hidden beast` number, since 1 + 2 + 331 + 112 + 220 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3801651 + ... + 3833949.

It is an arithmetic number, because the mean of its divisors is an integer number (1276657500).

Almost surely, 2^123311122200 is an apocalyptic number.

123311122200 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 123311122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245118240000).

123311122200 is an abundant number, since it is smaller than the sum of its proper divisors (366925357800).

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

123311122200 is a wasteful number, since it uses less digits than its factorization.

123311122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32432 (or 32417 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 123311122200 its reverse (2221113321), we get a palindrome (125532235521).

The spelling of 123311122200 in words is "one hundred twenty-three billion, three hundred eleven million, one hundred twenty-two thousand, two hundred".