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12994168320 = 2932572331113
BaseRepresentation
bin11000001101000001…
…10100011000000000
31020112120211010220100
430012200310120000
5203103001341240
65545222042400
7640002415440
oct140640643000
936476733810
1012994168320
115568961a91
122627879400
1312c110c4c3
148b3a8c120
15510b9de30
hex306834600

12994168320 has 960 divisors, whose sum is σ = 55888994304. Its totient is φ = 2724986880.

The previous prime is 12994168309. The next prime is 12994168357. The reversal of 12994168320 is 2386149921.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114992584 + ... + 114992696.

Almost surely, 212994168320 is an apocalyptic number.

12994168320 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 12994168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27944497152).

12994168320 is an abundant number, since it is smaller than the sum of its proper divisors (42894825984).

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

12994168320 is a wasteful number, since it uses less digits than its factorization.

12994168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 12994168320 in words is "twelve billion, nine hundred ninety-four million, one hundred sixty-eight thousand, three hundred twenty".