195012131328000 has 2496 divisors, whose sum is σ = 840981784960512. Its totient is φ = 42537399091200.

The previous prime is 195012131327999. The next prime is 195012131328041. The reversal of 195012131328000 is 823131210591.

195012131328000 is a `hidden beast` number, since 1 + 9 + 50 + 12 + 1 + 313 + 280 + 0 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 63254014459 + ... + 63254017541.

It is an arithmetic number, because the mean of its divisors is an integer number (336931804872).

Almost surely, 2^{195012131328000} is an apocalyptic number.

195012131328000 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 195012131328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420490892480256).

195012131328000 is an abundant number, since it is smaller than the sum of its proper divisors (645969653632512).

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

195012131328000 is a wasteful number, since it uses less digits than its factorization.

195012131328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Adding to 195012131328000 its reverse (823131210591), we get a palindrome (195835262538591).

The spelling of 195012131328000 in words is "one hundred ninety-five trillion, twelve billion, one hundred thirty-one million, three hundred twenty-eight thousand".