12192038040 has 256 divisors, whose sum is σ = 45434188800. Its totient is φ = 2548537344.

The previous prime is 12192038029. The next prime is 12192038057. The reversal of 12192038040 is 4083029121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12192037989 and 12192038007.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1185159 + ... + 1195401.

It is an arithmetic number, because the mean of its divisors is an integer number (177477300).

Almost surely, 2^12192038040 is an apocalyptic number.

12192038040 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 12192038040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22717094400).

12192038040 is an abundant number, since it is smaller than the sum of its proper divisors (33242150760).

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

12192038040 is a wasteful number, since it uses less digits than its factorization.

12192038040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10386 (or 10382 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 12192038040 in words is "twelve billion, one hundred ninety-two million, thirty-eight thousand, forty".