12123201000 has 256 divisors, whose sum is σ = 39703173120. Its totient is φ = 3075840000.

The previous prime is 12123200987. The next prime is 12123201017. The reversal of 12123201000 is 10232121.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 5671932 + ... + 5674068.

It is an arithmetic number, because the mean of its divisors is an integer number (155090520).

Almost surely, 2^12123201000 is an apocalyptic number.

12123201000 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 12123201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19851586560).

12123201000 is an abundant number, since it is smaller than the sum of its proper divisors (27579972120).

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

12123201000 is a wasteful number, since it uses less digits than its factorization.

12123201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12123201000 its reverse (10232121), we get a palindrome (12133433121).

The spelling of 12123201000 in words is "twelve billion, one hundred twenty-three million, two hundred one thousand".