122145303541221 has 48 divisors (see below), whose sum is σ = 185433448520320. Its totient is φ = 77378936342400.

The previous prime is 122145303541193. The next prime is 122145303541237.

122145303541221 is a `hidden beast` number, since 1 + 2 + 21 + 45 + 30 + 3 + 541 + 2 + 21 = 666.

122145303541221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122145303541221 - 2¹¹ = 122145303539173 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 (122145303541271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141341640 + ... + 142203198.

Almost surely, 2^{122145303541221} is an apocalyptic number.

It is an amenable number.

122145303541221 is a deficient number, since it is larger than the sum of its proper divisors (63288144979099).

122145303541221 is a wasteful number, since it uses less digits than its factorization.

122145303541221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871546 (or 871543 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 12214530 and 3541221, that added together give a palindrome (15755751).

The spelling of 122145303541221 in words is "one hundred twenty-two trillion, one hundred forty-five billion, three hundred three million, five hundred forty-one thousand, two hundred twenty-one".