122221201112001 has 12 divisors (see below), whose sum is σ = 186926542877412. Its totient is φ = 76687812462336.

The previous prime is 122221201111991. The next prime is 122221201112009. The reversal of 122221201112001 is 100211102122221.

122221201112001 is a `hidden beast` number, since 12 + 222 + 120 + 111 + 200 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79483929221376 + 42737271890625 = 8915376^2 + 6537375^2 .

It is not a de Polignac number, because 122221201112001 - 2⁶ = 122221201111937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122221201112009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399415689756 + ... + 399415690061.

It is an arithmetic number, because the mean of its divisors is an integer number (15577211906451).

Almost surely, 2^{122221201112001} is an apocalyptic number.

It is an amenable number.

122221201112001 is a deficient number, since it is larger than the sum of its proper divisors (64705341765411).

122221201112001 is a wasteful number, since it uses less digits than its factorization.

122221201112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798831379840 (or 798831379837 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122221201112001 its reverse (100211102122221), we get a palindrome (222432303234222).

The spelling of 122221201112001 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, two hundred one million, one hundred twelve thousand, one".