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12005285324880 = 243550022022187
BaseRepresentation
bin1010111010110011001011…
…0001000110100001010000
31120111200201222100102111210
42232230302301012201100
53033143311020344010
641311052452540120
72346232106355651
oct256546261064120
946450658312453
1012005285324880
11390945a6526a1
12141a855921640
1369112a6ab763
142d70b7913528
1515c441e37b20
hexaeb32c46850

12005285324880 has 40 divisors (see below), whose sum is σ = 37216384507872. Its totient is φ = 3201409419904.

The previous prime is 12005285324803. The next prime is 12005285324881. The reversal of 12005285324880 is 8842358250021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12005285324881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25011010854 + ... + 25011011333.

Almost surely, 212005285324880 is an apocalyptic number.

12005285324880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12005285324880 is an abundant number, since it is smaller than the sum of its proper divisors (25211099182992).

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

12005285324880 is a wasteful number, since it uses less digits than its factorization.

12005285324880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50022022203 (or 50022022197 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The spelling of 12005285324880 in words is "twelve trillion, five billion, two hundred eighty-five million, three hundred twenty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 50022022187 100044044374 150066066561 200088088748 250110110935 300132133122 400176177496 500220221870 600264266244 750330332805 800352354992 1000440443740 1200528532488 1500660665610 2000880887480 2401057064976 3001321331220 4001761774960 6002642662440 12005285324880