123221322000000 has 1344 divisors, whose sum is σ = 520249440721920. Its totient is φ = 27402624000000.

The previous prime is 123221321999981. The next prime is 123221322000019. The reversal of 123221322000000 is 223122321.

123221322000000 is a `hidden beast` number, since 1 + 232 + 213 + 220 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (123221321999981) and next prime (123221322000019).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4661986785 + ... + 4662013215.

It is an arithmetic number, because the mean of its divisors is an integer number (387090357680).

Almost surely, 2^{123221322000000} is an apocalyptic number.

123221322000000 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 123221322000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260124720360960).

123221322000000 is an abundant number, since it is smaller than the sum of its proper divisors (397028118721920).

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

123221322000000 is an frugal number, since it uses more digits than its factorization.

123221322000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26525 (or 26485 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 123221322000000 its reverse (223122321), we get a palindrome (123221545122321).

The spelling of 123221322000000 in words is "one hundred twenty-three trillion, two hundred twenty-one billion, three hundred twenty-two million", and thus it is an aban number.