22122511361541 has 96 divisors (see below), whose sum is σ = 35880698131200. Its totient is φ = 13069526722560.

The previous prime is 22122511361491. The next prime is 22122511361557. The reversal of 22122511361541 is 14516311522122.

22122511361541 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 2 + 51 + 1 + 3 + 61 + 541 = 666.

It is not a de Polignac number, because 22122511361541 - 2⁶ = 22122511361477 is a prime.

It is a super-2 number, since 2×22122511361541² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22122511361496 and 22122511361505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122511361341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41238445 + ... + 41771453.

It is an arithmetic number, because the mean of its divisors is an integer number (373757272200).

Almost surely, 2^{22122511361541} is an apocalyptic number.

It is an amenable number.

22122511361541 is a deficient number, since it is larger than the sum of its proper divisors (13758186769659).

22122511361541 is a wasteful number, since it uses less digits than its factorization.

22122511361541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533291 (or 533288 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

Adding to 22122511361541 its reverse (14516311522122), we get a palindrome (36638822883663).

The spelling of 22122511361541 in words is "twenty-two trillion, one hundred twenty-two billion, five hundred eleven million, three hundred sixty-one thousand, five hundred forty-one".