147211891200 has 1080 divisors, whose sum is σ = 592183191600. Its totient is φ = 34886860800.

The previous prime is 147211891193. The next prime is 147211891201. The reversal of 147211891200 is 2198112741.

147211891200 is a `hidden beast` number, since 1 + 472 + 1 + 189 + 1 + 2 + 0 + 0 = 666.

147211891200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (147211891201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 822412711 + ... + 822412889.

It is an arithmetic number, because the mean of its divisors is an integer number (548317770).

Almost surely, 2^147211891200 is an apocalyptic number.

147211891200 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 147211891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296091595800).

147211891200 is an abundant number, since it is smaller than the sum of its proper divisors (444971300400).

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

147211891200 is a wasteful number, since it uses less digits than its factorization.

147211891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 147211891200 in words is "one hundred forty-seven billion, two hundred eleven million, eight hundred ninety-one thousand, two hundred".