12190862880 has 720 divisors, whose sum is σ = 50889928320. Its totient is φ = 2751211008.

The previous prime is 12190862869. The next prime is 12190862921. The reversal of 12190862880 is 8826809121.

It is a happy number.

12190862880 is a `hidden beast` number, since 1 + 2 + 19 + 0 + 8 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 154314681 + ... + 154314759.

It is an arithmetic number, because the mean of its divisors is an integer number (70680456).

Almost surely, 2^12190862880 is an apocalyptic number.

12190862880 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 12190862880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25444964160).

12190862880 is an abundant number, since it is smaller than the sum of its proper divisors (38699065440).

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

12190862880 is an frugal number, since it uses more digits than its factorization.

12190862880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 12190862880 in words is "twelve billion, one hundred ninety million, eight hundred sixty-two thousand, eight hundred eighty".