11827220000 has 90 divisors (see below), whose sum is σ = 29134621593. Its totient is φ = 4724736000.

The previous prime is 11827219981. The next prime is 11827220039. The reversal of 11827220000 is 2272811.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 1738222864 + 10088997136 = 41692^2 + 100444^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=76900.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 15379616 + ... + 15380384.

Almost surely, 2^11827220000 is an apocalyptic number.

11827220000 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 11827220000

11827220000 is an abundant number, since it is smaller than the sum of its proper divisors (17307401593).

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

11827220000 is an frugal number, since it uses more digits than its factorization.

11827220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 11827220000 its reverse (2272811), we get a palindrome (11829492811).

The spelling of 11827220000 in words is "eleven billion, eight hundred twenty-seven million, two hundred twenty thousand".