2220161112000 has 1008 divisors, whose sum is σ = 8974829343168. Its totient is φ = 522674380800.

The previous prime is 2220161111989. The next prime is 2220161112047. The reversal of 2220161112000 is 2111610222.

2220161112000 is a `hidden beast` number, since 22 + 20 + 1 + 611 + 12 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 143 ways as a sum of consecutive naturals, for example, 279860034 + ... + 279867966.

Almost surely, 2^{2220161112000} is an apocalyptic number.

2220161112000 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 2220161112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4487414671584).

2220161112000 is an abundant number, since it is smaller than the sum of its proper divisors (6754668231168).

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

2220161112000 is a wasteful number, since it uses less digits than its factorization.

2220161112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8015 (or 7979 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2220161112000 its reverse (2111610222), we get a palindrome (2222272722222).

The spelling of 2220161112000 in words is "two trillion, two hundred twenty billion, one hundred sixty-one million, one hundred twelve thousand".