47132131200 has 384 divisors, whose sum is σ = 193550826240. Its totient is φ = 9793536000.

The previous prime is 47132131183. The next prime is 47132131201. The reversal of 47132131200 is 213123174.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47132131201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 707320 + ... + 771080.

It is an arithmetic number, because the mean of its divisors is an integer number (504038610).

Almost surely, 2^47132131200 is an apocalyptic number.

47132131200 is a gapful number since it is divisible by the number (40) 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 47132131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96775413120).

47132131200 is an abundant number, since it is smaller than the sum of its proper divisors (146418695040).

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

47132131200 is a wasteful number, since it uses less digits than its factorization.

47132131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63806 (or 63789 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 47132131200 its reverse (213123174), we get a palindrome (47345254374).

The spelling of 47132131200 in words is "forty-seven billion, one hundred thirty-two million, one hundred thirty-one thousand, two hundred".