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12999465600 = 2735211219231
BaseRepresentation
bin11000001101101010…
…00001101010000000
31020112221210021101220
430012311001222000
5203110330344400
65545531355040
7640065430422
oct140665015200
936487707356
1012999465600
11557094aa00
1226295b2a80
1312c22456a4
148b466a812
155113987a0
hex306d41a80

12999465600 has 864 divisors, whose sum is σ = 51272968320. Its totient is φ = 2889216000.

The previous prime is 12999465571. The next prime is 12999465613. The reversal of 12999465600 is 656499921.

It is a super-2 number, since 2×129994656002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 419337585 + ... + 419337615.

Almost surely, 212999465600 is an apocalyptic number.

12999465600 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 12999465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25636484160).

12999465600 is an abundant number, since it is smaller than the sum of its proper divisors (38273502720).

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

12999465600 is a wasteful number, since it uses less digits than its factorization.

12999465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The spelling of 12999465600 in words is "twelve billion, nine hundred ninety-nine million, four hundred sixty-five thousand, six hundred".