11212243109964 has 288 divisors, whose sum is σ = 33089723896320. Its totient is φ = 3293844922368.

The previous prime is 11212243109939. The next prime is 11212243109971. The reversal of 11212243109964 is 46990134221211.

11212243109964 is a `hidden beast` number, since 1 + 1 + 2 + 122 + 431 + 0 + 9 + 96 + 4 = 666.

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 95 ways as a sum of consecutive naturals, for example, 158938252 + ... + 159008780.

It is an arithmetic number, because the mean of its divisors is an integer number (114894874640).

Almost surely, 2^{11212243109964} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212243109964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16544861948160).

11212243109964 is an abundant number, since it is smaller than the sum of its proper divisors (21877480786356).

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

11212243109964 is a wasteful number, since it uses less digits than its factorization.

11212243109964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71131 (or 71117 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 11212243109964 in words is "eleven trillion, two hundred twelve billion, two hundred forty-three million, one hundred nine thousand, nine hundred sixty-four".