2212111200240 has 240 divisors, whose sum is σ = 7743854495520. Its totient is φ = 565206620160.

The previous prime is 2212111200227. The next prime is 2212111200253. The reversal of 2212111200240 is 420021112122.

2212111200240 is a `hidden beast` number, since 2 + 212 + 1 + 11 + 200 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (2212111200227) and next prime (2212111200253).

It is a tau number, because it is divible by the number of its divisors (240).

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2330914 + ... + 3139646.

It is an arithmetic number, because the mean of its divisors is an integer number (32266060398).

Almost surely, 2^{2212111200240} is an apocalyptic number.

2212111200240 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 2212111200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3871927247760).

2212111200240 is an abundant number, since it is smaller than the sum of its proper divisors (5531743295280).

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

2212111200240 is a wasteful number, since it uses less digits than its factorization.

2212111200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808912 (or 808903 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2212111200240 its reverse (420021112122), we get a palindrome (2632132312362).

The spelling of 2212111200240 in words is "two trillion, two hundred twelve billion, one hundred eleven million, two hundred thousand, two hundred forty".