122002343200221 has 32 divisors (see below), whose sum is σ = 183760347232896. Its totient is φ = 71942413593600.

The previous prime is 122002343200219. The next prime is 122002343200267.

122002343200221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122002343200221 - 2¹ = 122002343200219 is a prime.

It is a super-2 number, since 2×122002343200221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122002343200191 and 122002343200200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122002343200121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412744900 + ... + 413040381.

It is an arithmetic number, because the mean of its divisors is an integer number (5742510851028).

Almost surely, 2^{122002343200221} is an apocalyptic number.

122002343200221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122002343200221 is a deficient number, since it is larger than the sum of its proper divisors (61758004032675).

122002343200221 is an equidigital number, since it uses as much as digits as its factorization.

122002343200221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825785354 (or 825785332 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 122002343200221 in words is "one hundred twenty-two trillion, two billion, three hundred forty-three million, two hundred thousand, two hundred twenty-one".