2161361224000 has 448 divisors, whose sum is σ = 5959682906112. Its totient is φ = 769886208000.

The previous prime is 2161361223869. The next prime is 2161361224021. The reversal of 2161361224000 is 4221631612.

It is a super-2 number, since 2×2161361224000² (a number of 25 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 2161361224000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1008566929 + ... + 1008569071.

Almost surely, 2^{2161361224000} is an apocalyptic number.

2161361224000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2161361224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979841453056).

2161361224000 is an abundant number, since it is smaller than the sum of its proper divisors (3798321682112).

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

2161361224000 is a wasteful number, since it uses less digits than its factorization.

2161361224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 2161361224000 its reverse (4221631612), we get a palindrome (2165582855612).

The spelling of 2161361224000 in words is "two trillion, one hundred sixty-one billion, three hundred sixty-one million, two hundred twenty-four thousand".