5606121122667 has 24 divisors (see below), whose sum is σ = 8885173109904. Its totient is φ = 3384827843904.

The previous prime is 5606121122653. The next prime is 5606121122669. The reversal of 5606121122667 is 7662211216065.

5606121122667 is a `hidden beast` number, since 5 + 6 + 0 + 612 + 1 + 1 + 2 + 26 + 6 + 7 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-5606121122667 is a prime.

It is a super-2 number, since 2×5606121122667² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5606121122669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452027433 + ... + 452039834.

It is an arithmetic number, because the mean of its divisors is an integer number (370215546246).

Almost surely, 2^{5606121122667} is an apocalyptic number.

5606121122667 is a deficient number, since it is larger than the sum of its proper divisors (3279051987237).

5606121122667 is a wasteful number, since it uses less digits than its factorization.

5606121122667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904067339 (or 904067336 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 5606121122667 in words is "five trillion, six hundred six billion, one hundred twenty-one million, one hundred twenty-two thousand, six hundred sixty-seven".