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12317184000 = 212375311
BaseRepresentation
bin10110111100010100…
…10101000000000000
31011210101221210000000
423132022111000000
5200211144342000
65354120000000
7614142223302
oct133612250000
934711853000
1012317184000
115250802710
122479000000
131213a9b074
1484bbc5972
154c1526000
hex2de295000

12317184000 has 832 divisors, whose sum is σ = 50294050560. Its totient is φ = 2985984000.

The previous prime is 12317183999. The next prime is 12317184023. The reversal of 12317184000 is 48171321.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1119743995 + ... + 1119744005.

It is an arithmetic number, because the mean of its divisors is an integer number (60449580).

Almost surely, 212317184000 is an apocalyptic number.

12317184000 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 12317184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25147025280).

12317184000 is an abundant number, since it is smaller than the sum of its proper divisors (37976866560).

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

12317184000 is an frugal number, since it uses more digits than its factorization.

12317184000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 12317184000 in words is "twelve billion, three hundred seventeen million, one hundred eighty-four thousand".