123221013201 has 60 divisors (see below), whose sum is σ = 210846466740. Its totient is φ = 68933874240.

The previous prime is 123221013173. The next prime is 123221013217. The reversal of 123221013201 is 102310122321.

123221013201 is a `hidden beast` number, since 12 + 322 + 10 + 1 + 320 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6789924801 + 116431088400 = 82401^2 + 341220^2 .

It is not a de Polignac number, because 123221013201 - 2²¹ = 123218916049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123221013221) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1677031 + ... + 1748963.

It is an arithmetic number, because the mean of its divisors is an integer number (3514107779).

Almost surely, 2^123221013201 is an apocalyptic number.

123221013201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123221013201 is a deficient number, since it is larger than the sum of its proper divisors (87625453539).

123221013201 is an equidigital number, since it uses as much as digits as its factorization.

123221013201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71996 (or 71960 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 123221013201 its reverse (102310122321), we get a palindrome (225531135522).

The spelling of 123221013201 in words is "one hundred twenty-three billion, two hundred twenty-one million, thirteen thousand, two hundred one".