11011312121256 has 192 divisors, whose sum is σ = 32179500288000. Its totient is φ = 3391084984320.

The previous prime is 11011312121231. The next prime is 11011312121261. The reversal of 11011312121256 is 65212121311011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8268441 + ... + 9507351.

It is an arithmetic number, because the mean of its divisors is an integer number (167601564000).

Almost surely, 2^{11011312121256} 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 11011312121256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16089750144000).

11011312121256 is an abundant number, since it is smaller than the sum of its proper divisors (21168188166744).

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

11011312121256 is a wasteful number, since it uses less digits than its factorization.

11011312121256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239104 (or 1239097 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

Adding to 11011312121256 its reverse (65212121311011), we get a palindrome (76223433432267).

The spelling of 11011312121256 in words is "eleven trillion, eleven billion, three hundred twelve million, one hundred twenty-one thousand, two hundred fifty-six".