11126229660672 has 352 divisors, whose sum is σ = 34579609810944. Its totient is φ = 3114823680000.

The previous prime is 11126229660653. The next prime is 11126229660683. The reversal of 11126229660672 is 27606692262111.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344972547 + ... + 345004797.

It is an arithmetic number, because the mean of its divisors is an integer number (98237527872).

Almost surely, 2^{11126229660672} is an apocalyptic number.

11126229660672 is a gapful number since it is divisible by the number (12) 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 11126229660672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17289804905472).

11126229660672 is an abundant number, since it is smaller than the sum of its proper divisors (23453380150272).

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

11126229660672 is a wasteful number, since it uses less digits than its factorization.

11126229660672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32605 (or 32587 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 11126229660672 in words is "eleven trillion, one hundred twenty-six billion, two hundred twenty-nine million, six hundred sixty thousand, six hundred seventy-two".