123312221301000 has 512 divisors, whose sum is σ = 394649449758720. Its totient is φ = 32042275200000.

The previous prime is 123312221300977. The next prime is 123312221301019. The reversal of 123312221301000 is 103122213321.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37930549375 + ... + 37930552625.

It is an arithmetic number, because the mean of its divisors is an integer number (770799706560).

Almost surely, 2^{123312221301000} is an apocalyptic number.

123312221301000 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 123312221301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197324724879360).

123312221301000 is an abundant number, since it is smaller than the sum of its proper divisors (271337228457720).

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

123312221301000 is a wasteful number, since it uses less digits than its factorization.

123312221301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4422 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 123312221301000 its reverse (103122213321), we get a palindrome (123415343514321).

The spelling of 123312221301000 in words is "one hundred twenty-three trillion, three hundred twelve billion, two hundred twenty-one million, three hundred one thousand".