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12901680000 = 27345411181
BaseRepresentation
bin11000000010000000…
…00000001110000000
31020022010210020210000
430001000000032000
5202410312230000
65532115440000
7634500320256
oct140100001600
936263706700
1012901680000
115520731160
1226008b6000
1312a7bc8aa1
148a56945d6
155079d0000
hex301000380

12901680000 has 800 divisors, whose sum is σ = 52629496920. Its totient is φ = 3110400000.

The previous prime is 12901679977. The next prime is 12901680031. The reversal of 12901680000 is 8610921.

It is a tau number, because it is divible by the number of its divisors (800).

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 99 ways as a sum of consecutive naturals, for example, 71279910 + ... + 71280090.

Almost surely, 212901680000 is an apocalyptic number.

12901680000 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 12901680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26314748460).

12901680000 is an abundant number, since it is smaller than the sum of its proper divisors (39727816920).

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

12901680000 is an equidigital number, since it uses as much as digits as its factorization.

12901680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 12901680000 in words is "twelve billion, nine hundred one million, six hundred eighty thousand".