11072122110612 has 36 divisors (see below), whose sum is σ = 27990880677396. Its totient is φ = 3690309596160.

The previous prime is 11072122110589. The next prime is 11072122110617. The reversal of 11072122110612 is 21601122127011.

11072122110612 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 2 + 12 + 21 + 10 + 612 = 666.

11072122110612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7842934674576 + 3229187436036 = 2800524^2 + 1796994^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11072122110617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16235163 + ... + 16903394.

It is an arithmetic number, because the mean of its divisors is an integer number (777524463261).

Almost surely, 2^{11072122110612} is an apocalyptic number.

11072122110612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11072122110612 is an abundant number, since it is smaller than the sum of its proper divisors (16918758566784).

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

11072122110612 is a wasteful number, since it uses less digits than its factorization.

11072122110612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33147848 (or 33147843 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

Adding to 11072122110612 its reverse (21601122127011), we get a palindrome (32673244237623).

The spelling of 11072122110612 in words is "eleven trillion, seventy-two billion, one hundred twenty-two million, one hundred ten thousand, six hundred twelve".