12000190896900 has 1440 divisors, whose sum is σ = 43500043319040. Its totient is φ = 2850634321920.

The previous prime is 12000190896893. The next prime is 12000190896901. The reversal of 12000190896900 is 969809100021.

It is a super-2 number, since 2×12000190896900² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12000190896901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 34582682527 + ... + 34582682873.

It is an arithmetic number, because the mean of its divisors is an integer number (30208363416).

Almost surely, 2^{12000190896900} is an apocalyptic number.

12000190896900 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 12000190896900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21750021659520).

12000190896900 is an abundant number, since it is smaller than the sum of its proper divisors (31499852422140).

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

12000190896900 is a wasteful number, since it uses less digits than its factorization.

12000190896900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

Adding to 12000190896900 its reverse (969809100021), we get a palindrome (12969999996921).

The spelling of 12000190896900 in words is "twelve trillion, one hundred ninety million, eight hundred ninety-six thousand, nine hundred".