123313443401200 has 240 divisors, whose sum is σ = 327786234088320. Its totient is φ = 44285209436160.

The previous prime is 123313443401189. The next prime is 123313443401221. The reversal of 123313443401200 is 2104344313321.

It is a super-2 number, since 2×123313443401200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563045316 + ... + 563264284.

It is an arithmetic number, because the mean of its divisors is an integer number (1365775975368).

Almost surely, 2^{123313443401200} is an apocalyptic number.

123313443401200 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 123313443401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163893117044160).

123313443401200 is an abundant number, since it is smaller than the sum of its proper divisors (204472790687120).

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

123313443401200 is a wasteful number, since it uses less digits than its factorization.

123313443401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221964 (or 221953 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 123313443401200 its reverse (2104344313321), we get a palindrome (125417787714521).

The spelling of 123313443401200 in words is "one hundred twenty-three trillion, three hundred thirteen billion, four hundred forty-three million, four hundred one thousand, two hundred".