123232201000 has 144 divisors (see below), whose sum is σ = 306793517940. Its totient is φ = 46322252800.

The previous prime is 123232200961. The next prime is 123232201031. The reversal of 123232201000 is 102232321.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 18 ways, for example, as 38386997476 + 84845203524 = 195926^2 + 291282^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 188716674 + ... + 188717326.

Almost surely, 2^123232201000 is an apocalyptic number.

123232201000 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 123232201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153396758970).

123232201000 is an abundant number, since it is smaller than the sum of its proper divisors (183561316940).

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

123232201000 is an frugal number, since it uses more digits than its factorization.

123232201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 123232201000 its reverse (102232321), we get a palindrome (123334433321).

The spelling of 123232201000 in words is "one hundred twenty-three billion, two hundred thirty-two million, two hundred one thousand".