11012121565456 has 120 divisors (see below), whose sum is σ = 23852802619800. Its totient is φ = 4920646410240.

The previous prime is 11012121565441. The next prime is 11012121565483. The reversal of 11012121565456 is 65456512121011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2316228311056 + 8695893254400 = 1521916^2 + 2948880^2 .

It is a super-2 number, since 2×11012121565456² (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 27784230 + ... + 28177786.

It is an arithmetic number, because the mean of its divisors is an integer number (198773355165).

Almost surely, 2^{11012121565456} is an apocalyptic number.

11012121565456 is a gapful number since it is divisible by the number (16) 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 11012121565456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11926401309900).

11012121565456 is an abundant number, since it is smaller than the sum of its proper divisors (12840681054344).

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

11012121565456 is a wasteful number, since it uses less digits than its factorization.

11012121565456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393833 (or 393816 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 40.

Adding to 11012121565456 its reverse (65456512121011), we get a palindrome (76468633686467).

The spelling of 11012121565456 in words is "eleven trillion, twelve billion, one hundred twenty-one million, five hundred sixty-five thousand, four hundred fifty-six".