123311222100 has 576 divisors, whose sum is σ = 460050554880. Its totient is φ = 28003276800.

The previous prime is 123311222039. The next prime is 123311222113. The reversal of 123311222100 is 1222113321.

123311222100 is a `hidden beast` number, since 1 + 2 + 331 + 122 + 210 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 142886269 + ... + 142887131.

It is an arithmetic number, because the mean of its divisors is an integer number (798698880).

Almost surely, 2^123311222100 is an apocalyptic number.

123311222100 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 123311222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230025277440).

123311222100 is an abundant number, since it is smaller than the sum of its proper divisors (336739332780).

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

123311222100 is a wasteful number, since it uses less digits than its factorization.

123311222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1184 counting only the distinct ones).

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

Adding to 123311222100 its reverse (1222113321), we get a palindrome (124533335421).

The spelling of 123311222100 in words is "one hundred twenty-three billion, three hundred eleven million, two hundred twenty-two thousand, one hundred".