11772260000 has 120 divisors (see below), whose sum is σ = 29961674820. Its totient is φ = 4546304000.

The previous prime is 11772259969. The next prime is 11772260033. The reversal of 11772260000 is 6227711.

It can be written as a sum of positive squares in 10 ways, for example, as 917120656 + 10855139344 = 30284^2 + 104188^2 .

It is a super-2 number, since 2×11772260000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 569852 + ... + 590148.

Almost surely, 2^11772260000 is an apocalyptic number.

11772260000 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 11772260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14980837410).

11772260000 is an abundant number, since it is smaller than the sum of its proper divisors (18189414820).

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

11772260000 is an equidigital number, since it uses as much as digits as its factorization.

11772260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20356 (or 20333 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

Adding to 11772260000 its reverse (6227711), we get a palindrome (11778487711).

The spelling of 11772260000 in words is "eleven billion, seven hundred seventy-two million, two hundred sixty thousand".