44131212000 has 288 divisors, whose sum is σ = 156906457344. Its totient is φ = 11746944000.

The previous prime is 44131211977. The next prime is 44131212043. The reversal of 44131212000 is 21213144.

44131212000 is a `hidden beast` number, since 441 + 3 + 1 + 21 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35675382 + ... + 35676618.

It is an arithmetic number, because the mean of its divisors is an integer number (544814088).

Almost surely, 2^44131212000 is an apocalyptic number.

44131212000 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 44131212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78453228672).

44131212000 is an abundant number, since it is smaller than the sum of its proper divisors (112775245344).

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

44131212000 is a wasteful number, since it uses less digits than its factorization.

44131212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 44131212000 its reverse (21213144), we get a palindrome (44152425144).

The spelling of 44131212000 in words is "forty-four billion, one hundred thirty-one million, two hundred twelve thousand".