2261122107200 has 84 divisors (see below), whose sum is σ = 6069571230912. Its totient is φ = 822226214400.

The previous prime is 2261122107173. The next prime is 2261122107221. The reversal of 2261122107200 is 27012211622.

It is a super-2 number, since 2×2261122107200² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2261122107200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64218824 + ... + 64254023.

It is an arithmetic number, because the mean of its divisors is an integer number (72256800368).

Almost surely, 2^{2261122107200} is an apocalyptic number.

2261122107200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261122107200 is an abundant number, since it is smaller than the sum of its proper divisors (3808449123712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2261122107200 is a wasteful number, since it uses less digits than its factorization.

2261122107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128472880 (or 128472865 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

Adding to 2261122107200 its reverse (27012211622), we get a palindrome (2288134318822).

The spelling of 2261122107200 in words is "two trillion, two hundred sixty-one billion, one hundred twenty-two million, one hundred seven thousand, two hundred".