195112512 has 252 divisors, whose sum is σ = 674558976. Its totient is φ = 53706240.

The previous prime is 195112487. The next prime is 195112517. The reversal of 195112512 is 215211591.

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (195112517) 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 35 ways as a sum of consecutive naturals, for example, 874833 + ... + 875055.

Almost surely, 2^195112512 is an apocalyptic number.

195112512 is a gapful number since it is divisible by the number (12) 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 195112512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337279488).

195112512 is an abundant number, since it is smaller than the sum of its proper divisors (479446464).

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

195112512 is a wasteful number, since it uses less digits than its factorization.

195112512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 266 counting only the distinct ones).

The product of its digits is 900, while the sum is 27.

The square root of 195112512 is about 13968.2680386654. The cubic root of 195112512 is about 580.0005073321. Note that the first 3 decimals are identical.

It can be divided in two parts, 195112 and 512, that multiplied together give a cube (99897344 = 464³).

The spelling of 195112512 in words is "one hundred ninety-five million, one hundred twelve thousand, five hundred twelve".