11632113220200 has 96 divisors (see below), whose sum is σ = 39337692003360. Its totient is φ = 2819906233600.

The previous prime is 11632113220163. The next prime is 11632113220201. The reversal of 11632113220200 is 202231123611.

It is a super-2 number, since 2×11632113220200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11632113220201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 881214099 + ... + 881227298.

It is an arithmetic number, because the mean of its divisors is an integer number (409767625035).

Almost surely, 2^{11632113220200} is an apocalyptic number.

11632113220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11632113220200 is an abundant number, since it is smaller than the sum of its proper divisors (27705578783160).

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

11632113220200 is a wasteful number, since it uses less digits than its factorization.

11632113220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762441427 (or 1762441418 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11632113220200 its reverse (202231123611), we get a palindrome (11834344343811).

The spelling of 11632113220200 in words is "eleven trillion, six hundred thirty-two billion, one hundred thirteen million, two hundred twenty thousand, two hundred".