12241719000 has 768 divisors, whose sum is σ = 52071552000. Its totient is φ = 2645395200.

The previous prime is 12241718999. The next prime is 12241719107. The reversal of 12241719000 is 91714221.

It is a super-2 number, since 2×12241719000² (a number of 21 digits) contains 22 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 25136757 + ... + 25137243.

It is an arithmetic number, because the mean of its divisors is an integer number (67801500).

Almost surely, 2^12241719000 is an apocalyptic number.

12241719000 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 12241719000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26035776000).

12241719000 is an abundant number, since it is smaller than the sum of its proper divisors (39829833000).

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

12241719000 is a wasteful number, since it uses less digits than its factorization.

12241719000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 12241719000 in words is "twelve billion, two hundred forty-one million, seven hundred nineteen thousand".