123221013000 has 128 divisors (see below), whose sum is σ = 384791022720. Its totient is φ = 32829753600.

The previous prime is 123221012951. The next prime is 123221013017. The reversal of 123221013000 is 310122321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3471342 + ... + 3506658.

It is an arithmetic number, because the mean of its divisors is an integer number (3006179865).

Almost surely, 2^123221013000 is an apocalyptic number.

123221013000 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 123221013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192395511360).

123221013000 is an abundant number, since it is smaller than the sum of its proper divisors (261570009720).

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

123221013000 is a wasteful number, since it uses less digits than its factorization.

123221013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36504 (or 36490 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 123221013000 its reverse (310122321), we get a palindrome (123531135321).

The spelling of 123221013000 in words is "one hundred twenty-three billion, two hundred twenty-one million, thirteen thousand".