12190163040 has 384 divisors, whose sum is σ = 47133757440. Its totient is φ = 2954257920.

The previous prime is 12190162993. The next prime is 12190163053. The reversal of 12190163040 is 4036109121.

12190163040 is a `hidden beast` number, since 1 + 21 + 9 + 0 + 1 + 630 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12190162995 and 12190163013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3847537 + ... + 3850703.

It is an arithmetic number, because the mean of its divisors is an integer number (122744160).

Almost surely, 2^12190163040 is an apocalyptic number.

12190163040 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 12190163040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23566878720).

12190163040 is an abundant number, since it is smaller than the sum of its proper divisors (34943594400).

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

12190163040 is an equidigital number, since it uses as much as digits as its factorization.

12190163040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 12190163040 in words is "twelve billion, one hundred ninety million, one hundred sixty-three thousand, forty".