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12194160000 = 273541131149
BaseRepresentation
bin10110101101101010…
…00001110110000000
31011110211110111210120
423112311001312000
5144433201110000
65334003100240
7611116435611
oct132665016600
934424414716
1012194160000
115198315990
122443971680
1311c44558b9
1483971dc08
154b58246a0
hex2d6d41d80

12194160000 has 640 divisors, whose sum is σ = 45885312000. Its totient is φ = 2841600000.

The previous prime is 12194159981. The next prime is 12194160001. The reversal of 12194160000 is 6149121.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12194160001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81839926 + ... + 81840074.

It is an arithmetic number, because the mean of its divisors is an integer number (71695800).

Almost surely, 212194160000 is an apocalyptic number.

12194160000 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 12194160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22942656000).

12194160000 is an abundant number, since it is smaller than the sum of its proper divisors (33691152000).

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

12194160000 is a wasteful number, since it uses less digits than its factorization.

12194160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 12194160000 in words is "twelve billion, one hundred ninety-four million, one hundred sixty thousand".