2112121624563 has 24 divisors (see below), whose sum is σ = 3188363042592. Its totient is φ = 1344797507328.

The previous prime is 2112121624537. The next prime is 2112121624567. The reversal of 2112121624563 is 3654261212112.

2112121624563 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 1 + 21 + 624 + 5 + 6 + 3 = 666.

It is not a de Polignac number, because 2112121624563 - 2⁵ = 2112121624531 is a prime.

It is a super-2 number, since 2×2112121624563² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112121624567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7677606 + ... + 7947947.

It is an arithmetic number, because the mean of its divisors is an integer number (132848460108).

Almost surely, 2^{2112121624563} is an apocalyptic number.

2112121624563 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2112121624563 is a deficient number, since it is larger than the sum of its proper divisors (1076241418029).

2112121624563 is a wasteful number, since it uses less digits than its factorization.

2112121624563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15626235 (or 15626232 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Adding to 2112121624563 its reverse (3654261212112), we get a palindrome (5766382836675).

The spelling of 2112121624563 in words is "two trillion, one hundred twelve billion, one hundred twenty-one million, six hundred twenty-four thousand, five hundred sixty-three".