11881201152 has 160 divisors (see below), whose sum is σ = 32201224704. Its totient is φ = 3892428800.

The previous prime is 11881201147. The next prime is 11881201177. The reversal of 11881201152 is 25110218811.

It is a super-2 number, since 2×11881201152² (a number of 21 digits) contains 22 as substring.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 27566377 + ... + 27566807.

Almost surely, 2^11881201152 is an apocalyptic number.

11881201152 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 11881201152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16100612352).

11881201152 is an abundant number, since it is smaller than the sum of its proper divisors (20320023552).

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

11881201152 is a wasteful number, since it uses less digits than its factorization.

11881201152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 30.

Adding to 11881201152 its reverse (25110218811), we get a palindrome (36991419963).

The spelling of 11881201152 in words is "eleven billion, eight hundred eighty-one million, two hundred one thousand, one hundred fifty-two".