11172312640000 has 200 divisors, whose sum is σ = 28856482235460. Its totient is φ = 4314820608000.

The previous prime is 11172312639979. The next prime is 11172312640051. The reversal of 11172312640000 is 4621327111.

It can be written as a sum of positive squares in 10 ways, for example, as 6129010944 + 11166183629056 = 78288^2 + 3341584^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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 19 ways as a sum of consecutive naturals, for example, 8678044 + ... + 9881956.

Almost surely, 2^{11172312640000} is an apocalyptic number.

11172312640000 is a gapful number since it is divisible by the number (10) 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 11172312640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14428241117730).

11172312640000 is an abundant number, since it is smaller than the sum of its proper divisors (17684169595460).

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

11172312640000 is an frugal number, since it uses more digits than its factorization.

11172312640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203980 (or 1203949 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

Adding to 11172312640000 its reverse (4621327111), we get a palindrome (11176933967111).

The spelling of 11172312640000 in words is "eleven trillion, one hundred seventy-two billion, three hundred twelve million, six hundred forty thousand".