11302312322112 has 112 divisors (see below), whose sum is σ = 34180486042752. Its totient is φ = 3228811960320.

The previous prime is 11302312322107. The next prime is 11302312322137. The reversal of 11302312322112 is 21122321320311.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×11302312322112³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9860728 + ... + 10947080.

It is an arithmetic number, because the mean of its divisors is an integer number (305182911096).

Almost surely, 2^{11302312322112} is an apocalyptic number.

11302312322112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11302312322112 is an abundant number, since it is smaller than the sum of its proper divisors (22878173720640).

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

11302312322112 is a wasteful number, since it uses less digits than its factorization.

11302312322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094116 (or 1094106 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11302312322112 its reverse (21122321320311), we get a palindrome (32424633642423).

The spelling of 11302312322112 in words is "eleven trillion, three hundred two billion, three hundred twelve million, three hundred twenty-two thousand, one hundred twelve".