122145541221 has 16 divisors (see below), whose sum is σ = 177713141760. Its totient is φ = 74008059120.

The previous prime is 122145541211. The next prime is 122145541253.

122145541221 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-122145541221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122145541201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361141 + ... + 612138.

It is an arithmetic number, because the mean of its divisors is an integer number (11107071360).

Almost surely, 2^122145541221 is an apocalyptic number.

122145541221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122145541221 is a deficient number, since it is larger than the sum of its proper divisors (55567600539).

122145541221 is a wasteful number, since it uses less digits than its factorization.

122145541221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977096.

The product of its digits is 6400, while the sum is 30.

It can be divided in two parts, 122145 and 541221, that added together give a palindrome (663366).

The spelling of 122145541221 in words is "one hundred twenty-two billion, one hundred forty-five million, five hundred forty-one thousand, two hundred twenty-one".