11012116516128 has 192 divisors, whose sum is σ = 39530674955520. Its totient is φ = 2904294445056.

The previous prime is 11012116516127. The next prime is 11012116516139. The reversal of 11012116516128 is 82161561121011.

It is a happy number.

11012116516128 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 2 + 1 + 16 + 516 + 128 = 666.

It is a super-2 number, since 2×11012116516128² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11012116516092 and 11012116516101.

It is not an unprimeable number, because it can be changed into a prime (11012116516123) 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, 69951625 + ... + 70108872.

It is an arithmetic number, because the mean of its divisors is an integer number (205888932060).

Almost surely, 2^{11012116516128} is an apocalyptic number.

11012116516128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11012116516128 is an abundant number, since it is smaller than the sum of its proper divisors (28518558439392).

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

11012116516128 is a wasteful number, since it uses less digits than its factorization.

11012116516128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140060536 (or 140060522 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 36.

Adding to 11012116516128 its reverse (82161561121011), we get a palindrome (93173677637139).

The spelling of 11012116516128 in words is "eleven trillion, twelve billion, one hundred sixteen million, five hundred sixteen thousand, one hundred twenty-eight".