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12480652800 = 293352721167
BaseRepresentation
bin10111001111110011…
…11010011000000000
31012012210112212001000
423213321322120000
5201030021342200
65422235412000
7621165540600
oct134771723000
935183485030
1012480652800
1153250041a0
1225038b4000
13123b904675
148657b8c00
154d0a66300
hex2e7e7a600

12480652800 has 1440 divisors, whose sum is σ = 59001402240. Its totient is φ = 2554675200.

The previous prime is 12480652783. The next prime is 12480652837. The reversal of 12480652800 is 825608421.

12480652800 is a `hidden beast` number, since 124 + 8 + 0 + 6 + 528 + 0 + 0 = 666.

12480652800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 186278367 + ... + 186278433.

It is an arithmetic number, because the mean of its divisors is an integer number (40973196).

Almost surely, 212480652800 is an apocalyptic number.

12480652800 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 12480652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29500701120).

12480652800 is an abundant number, since it is smaller than the sum of its proper divisors (46520749440).

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

12480652800 is a wasteful number, since it uses less digits than its factorization.

12480652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 12480652800 in words is "twelve billion, four hundred eighty million, six hundred fifty-two thousand, eight hundred".