122114545411221 has 36 divisors (see below), whose sum is σ = 194048824657324. Its totient is φ = 73944626595840.

The previous prime is 122114545411163. The next prime is 122114545411241.

122114545411221 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 14 + 5 + 4 + 5 + 411 + 221 = 666.

122114545411221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 91439685008100 + 30674860403121 = 9562410^2 + 5538489^2 .

It is not a de Polignac number, because 122114545411221 - 2¹⁴ = 122114545394837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122114545411241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47371690 + ... + 49882923.

Almost surely, 2^{122114545411221} is an apocalyptic number.

122114545411221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122114545411221 is a deficient number, since it is larger than the sum of its proper divisors (71934279246103).

122114545411221 is a wasteful number, since it uses less digits than its factorization.

122114545411221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97255794 (or 97255780 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The spelling of 122114545411221 in words is "one hundred twenty-two trillion, one hundred fourteen billion, five hundred forty-five million, four hundred eleven thousand, two hundred twenty-one".