11451124012216 has 128 divisors (see below), whose sum is σ = 25529498352000. Its totient is φ = 4712993759232.

The previous prime is 11451124012213. The next prime is 11451124012277. The reversal of 11451124012216 is 61221042115411.

It is a super-2 number, since 2×11451124012216² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11451124012213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104873586 + ... + 104982718.

It is an arithmetic number, because the mean of its divisors is an integer number (199449205875).

Almost surely, 2^{11451124012216} 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 11451124012216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12764749176000).

11451124012216 is an abundant number, since it is smaller than the sum of its proper divisors (14078374339784).

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

11451124012216 is a wasteful number, since it uses less digits than its factorization.

11451124012216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109841 (or 109837 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

Adding to 11451124012216 its reverse (61221042115411), we get a palindrome (72672166127627).

The spelling of 11451124012216 in words is "eleven trillion, four hundred fifty-one billion, one hundred twenty-four million, twelve thousand, two hundred sixteen".