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12997294080 = 211355971101
BaseRepresentation
bin11000001101011001…
…01111100000000000
31020112210200221122020
430012230233200000
5203104301402310
65545413041440
7640041114441
oct140654574000
936483627566
1012997294080
11556a6a7461
122628926280
1312c1965174
148b42632c8
155110ba170
hex306b2f800

12997294080 has 384 divisors, whose sum is σ = 43306099200. Its totient is φ = 3325952000.

The previous prime is 12997294073. The next prime is 12997294099. The reversal of 12997294080 is 8049279921.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128686030 + ... + 128686130.

It is an arithmetic number, because the mean of its divisors is an integer number (112776300).

Almost surely, 212997294080 is an apocalyptic number.

12997294080 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 12997294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21653049600).

12997294080 is an abundant number, since it is smaller than the sum of its proper divisors (30308805120).

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

12997294080 is a wasteful number, since it uses less digits than its factorization.

12997294080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 12997294080 in words is "twelve billion, nine hundred ninety-seven million, two hundred ninety-four thousand, eighty".