1100512812672 has 768 divisors, whose sum is σ = 4038243256320. Its totient is φ = 279846420480.

The previous prime is 1100512812653. The next prime is 1100512812673. The reversal of 1100512812672 is 2762182150011.

It is a happy number.

1100512812672 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 512 + 81 + 2 + 67 + 2 = 666.

It is a super-3 number, since 3×1100512812672³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (1100512812673) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1290166998 + ... + 1290167850.

It is an arithmetic number, because the mean of its divisors is an integer number (5258129240).

Almost surely, 2^{1100512812672} is an apocalyptic number.

1100512812672 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 1100512812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019121628160).

1100512812672 is an abundant number, since it is smaller than the sum of its proper divisors (2937730443648).

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

1100512812672 is a wasteful number, since it uses less digits than its factorization.

1100512812672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

Adding to 1100512812672 its reverse (2762182150011), we get a palindrome (3862694962683).

The spelling of 1100512812672 in words is "one trillion, one hundred billion, five hundred twelve million, eight hundred twelve thousand, six hundred seventy-two".