193249212912 has 400 divisors, whose sum is σ = 656815104000. Its totient is φ = 54829353600.

The previous prime is 193249212911. The next prime is 193249212913. The reversal of 193249212912 is 219212942391.

193249212912 is a `hidden beast` number, since 1 + 9 + 32 + 492 + 129 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (193249212911) and next prime (193249212913).

It is a super-2 number, since 2×193249212912² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193249212911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67122289 + ... + 67125167.

It is an arithmetic number, because the mean of its divisors is an integer number (1642037760).

Almost surely, 2^193249212912 is an apocalyptic number.

193249212912 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 193249212912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328407552000).

193249212912 is an abundant number, since it is smaller than the sum of its proper divisors (463565891088).

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

193249212912 is a wasteful number, since it uses less digits than its factorization.

193249212912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3042 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The spelling of 193249212912 in words is "one hundred ninety-three billion, two hundred forty-nine million, two hundred twelve thousand, nine hundred twelve".