123200021101221 has 48 divisors (see below), whose sum is σ = 185035059291888. Its totient is φ = 78924983040000.

The previous prime is 123200021101217. The next prime is 123200021101253. The reversal of 123200021101221 is 122101120002321.

123200021101221 is a `hidden beast` number, since 1 + 2 + 320 + 0 + 0 + 21 + 101 + 221 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 67755452076900 + 55444569024321 = 8231370^2 + 7446111^2 .

It is not a de Polignac number, because 123200021101221 - 2² = 123200021101217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123200021101194 and 123200021101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123200021101121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8919415 + ... + 18054251.

It is an arithmetic number, because the mean of its divisors is an integer number (3854897068581).

Almost surely, 2^{123200021101221} is an apocalyptic number.

It is an amenable number.

123200021101221 is a deficient number, since it is larger than the sum of its proper divisors (61835038190667).

123200021101221 is a wasteful number, since it uses less digits than its factorization.

123200021101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9135382 (or 9135379 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 123200021101221 its reverse (122101120002321), we get a palindrome (245301141103542).

The spelling of 123200021101221 in words is "one hundred twenty-three trillion, two hundred billion, twenty-one million, one hundred one thousand, two hundred twenty-one".