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12480499200 = 2935213231087
BaseRepresentation
bin10111001111110010…
…10100111000000000
31012012210021001100010
423213321110320000
5201030001433300
65422232224520
7621164331021
oct134771247000
935183231303
1012480499200
115324a09854
12250383b140
13123b87c790
14865778c48
154d0a35a50
hex2e7e54e00

12480499200 has 480 divisors, whose sum is σ = 46373031936. Its totient is φ = 2935848960.

The previous prime is 12480499159. The next prime is 12480499211. The reversal of 12480499200 is 299408421.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11481057 + ... + 11482143.

Almost surely, 212480499200 is an apocalyptic number.

12480499200 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 12480499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23186515968).

12480499200 is an abundant number, since it is smaller than the sum of its proper divisors (33892532736).

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

12480499200 is a wasteful number, since it uses less digits than its factorization.

12480499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 12480499200 in words is "twelve billion, four hundred eighty million, four hundred ninety-nine thousand, two hundred".