12195451008 has 288 divisors, whose sum is σ = 39050951940. Its totient is φ = 3648872448.

The previous prime is 12195450991. The next prime is 12195451013. The reversal of 12195451008 is 80015459121.

12195451008 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 545 + 100 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3465912384 + 8729538624 = 58872^2 + 93432^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7202610 + ... + 7204302.

Almost surely, 2^12195451008 is an apocalyptic number.

12195451008 is a gapful number since it is divisible by the number (18) 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 12195451008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19525475970).

12195451008 is an abundant number, since it is smaller than the sum of its proper divisors (26855500932).

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

12195451008 is a wasteful number, since it uses less digits than its factorization.

12195451008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

It can be divided in two parts, 12195 and 451008, that added together give a triangular number (463203 = T₉₆₂).

The spelling of 12195451008 in words is "twelve billion, one hundred ninety-five million, four hundred fifty-one thousand, eight".