2212011052104 has 288 divisors, whose sum is σ = 6765983265600. Its totient is φ = 600172070400.

The previous prime is 2212011052079. The next prime is 2212011052117. The reversal of 2212011052104 is 4012501102122.

It is a super-3 number, since 3×2212011052104³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 126892269 + ... + 126909699.

It is an arithmetic number, because the mean of its divisors is an integer number (23492997450).

Almost surely, 2^{2212011052104} is an apocalyptic number.

2212011052104 is a gapful number since it is divisible by the number (24) 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 2212011052104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382991632800).

2212011052104 is an abundant number, since it is smaller than the sum of its proper divisors (4553972213496).

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

2212011052104 is a wasteful number, since it uses less digits than its factorization.

2212011052104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17605 (or 17533 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 2212011052104 its reverse (4012501102122), we get a palindrome (6224512154226).

The spelling of 2212011052104 in words is "two trillion, two hundred twelve billion, eleven million, fifty-two thousand, one hundred four".