123311440200 has 384 divisors, whose sum is σ = 438253200000. Its totient is φ = 28429885440.

The previous prime is 123311440177. The next prime is 123311440271. The reversal of 123311440200 is 2044113321.

123311440200 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123311440200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13185126 + ... + 13194474.

It is an arithmetic number, because the mean of its divisors is an integer number (1141284375).

Almost surely, 2^123311440200 is an apocalyptic number.

123311440200 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 123311440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219126600000).

123311440200 is an abundant number, since it is smaller than the sum of its proper divisors (314941759800).

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

123311440200 is a wasteful number, since it uses less digits than its factorization.

123311440200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9489 (or 9480 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 123311440200 its reverse (2044113321), we get a palindrome (125355553521).

The spelling of 123311440200 in words is "one hundred twenty-three billion, three hundred eleven million, four hundred forty thousand, two hundred".