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12014980128 = 253421532
BaseRepresentation
bin10110011000010011…
…00000110000100000
31011000100022020020000
423030021200300200
5144101313331003
65304122420000
7603512434404
oct131411406040
934010266200
1012014980128
115106163448
1223b3961600
1311962ab0c8
1481d9db104
154a4c2e1a3
hex2cc260c20

12014980128 has 90 divisors (see below), whose sum is σ = 35352142749. Its totient is φ = 4003133184.

The previous prime is 12014980057. The next prime is 12014980147. The reversal of 12014980128 is 82108941021.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 9149305104 + 2865675024 = 95652^2 + 53532^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=77508.

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

It is a junction number, because it is equal to n+sod(n) for n = 12014980092 and 12014980101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5579500 + ... + 5581652.

Almost surely, 212014980128 is an apocalyptic number.

12014980128 is a gapful number since it is divisible by the number (18) 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 12014980128

12014980128 is an abundant number, since it is smaller than the sum of its proper divisors (23337162621).

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

12014980128 is an frugal number, since it uses more digits than its factorization.

12014980128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 12014980128 in words is "twelve billion, fourteen million, nine hundred eighty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2153 2592 4306 6459 8612 12918 17224 19377 25836 34448 38754 51672 58131 68896 77508 103344 116262 155016 174393 206688 232524 310032 348786 465048 620064 697572 930096 1395144 1860192 2790288 4635409 5580576 9270818 13906227 18541636 27812454 37083272 41718681 55624908 74166544 83437362 111249816 125156043 148333088 166874724 222499632 250312086 333749448 375468129 444999264 500624172 667498896 750936258 1001248344 1334997792 1501872516 2002496688 3003745032 4004993376 6007490064 12014980128