123213000321120 has 384 divisors, whose sum is σ = 404839215793152. Its totient is φ = 31470618009600.

The previous prime is 123213000321119. The next prime is 123213000321121. The reversal of 123213000321120 is 21123000312321.

It is an interprime number because it is at equal distance from previous prime (123213000321119) and next prime (123213000321121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123213000321121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 833420647 + ... + 833568473.

It is an arithmetic number, because the mean of its divisors is an integer number (1054268791128).

Almost surely, 2^{123213000321120} is an apocalyptic number.

123213000321120 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 123213000321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202419607896576).

123213000321120 is an abundant number, since it is smaller than the sum of its proper divisors (281626215472032).

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

123213000321120 is a wasteful number, since it uses less digits than its factorization.

123213000321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148614 (or 148606 counting only the distinct ones).

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

Adding to 123213000321120 its reverse (21123000312321), we get a palindrome (144336000633441).

The spelling of 123213000321120 in words is "one hundred twenty-three trillion, two hundred thirteen billion, three hundred twenty-one thousand, one hundred twenty".