123213201330000 has 400 divisors, whose sum is σ = 415241247966336. Its totient is φ = 31413212160000.

The previous prime is 123213201329923. The next prime is 123213201330019. The reversal of 123213201330000 is 33102312321.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×123213201330000² (a number of 29 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 1474488220 + ... + 1474571780.

Almost surely, 2^{123213201330000} is an apocalyptic number.

123213201330000 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 123213201330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207620623983168).

123213201330000 is an abundant number, since it is smaller than the sum of its proper divisors (292028046636336).

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

123213201330000 is a wasteful number, since it uses less digits than its factorization.

123213201330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85752 (or 85731 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 123213201330000 its reverse (33102312321), we get a palindrome (123246303642321).

The spelling of 123213201330000 in words is "one hundred twenty-three trillion, two hundred thirteen billion, two hundred one million, three hundred thirty thousand".