122012012200221 has 64 divisors (see below), whose sum is σ = 212397019511040. Its totient is φ = 68246466174720.

The previous prime is 122012012200159. The next prime is 122012012200229. The reversal of 122012012200221 is 122002210210221.

It is a happy number.

122012012200221 is a `hidden beast` number, since 1 + 2 + 20 + 1 + 201 + 220 + 0 + 221 = 666.

It is not a de Polignac number, because 122012012200221 - 2¹⁹ = 122012011675933 is a prime.

It is a super-2 number, since 2×122012012200221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122012012200194 and 122012012200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122012012200229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19205235 + ... + 24756111.

It is an arithmetic number, because the mean of its divisors is an integer number (3318703429860).

Almost surely, 2^{122012012200221} is an apocalyptic number.

122012012200221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122012012200221 is a deficient number, since it is larger than the sum of its proper divisors (90385007310819).

122012012200221 is a wasteful number, since it uses less digits than its factorization.

122012012200221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5556603 (or 5556597 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122012012200221 its reverse (122002210210221), we get a palindrome (244014222410442).

The spelling of 122012012200221 in words is "one hundred twenty-two trillion, twelve billion, twelve million, two hundred thousand, two hundred twenty-one".