123201321000 has 256 divisors, whose sum is σ = 394239605760. Its totient is φ = 32015289600.

The previous prime is 123201320989. The next prime is 123201321011. The reversal of 123201321000 is 123102321.

It is an interprime number because it is at equal distance from previous prime (123201320989) and next prime (123201321011).

It is a super-2 number, since 2×123201321000² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 75722187 + ... + 75723813.

It is an arithmetic number, because the mean of its divisors is an integer number (1539998460).

Almost surely, 2^123201321000 is an apocalyptic number.

123201321000 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 123201321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197119802880).

123201321000 is an abundant number, since it is smaller than the sum of its proper divisors (271038284760).

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

123201321000 is a wasteful number, since it uses less digits than its factorization.

123201321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2267 counting only the distinct ones).

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

Adding to 123201321000 its reverse (123102321), we get a palindrome (123324423321).

The spelling of 123201321000 in words is "one hundred twenty-three billion, two hundred one million, three hundred twenty-one thousand".