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12125153412 = 223438397711
BaseRepresentation
bin10110100101011011…
…10010100010000100
31011022000121121120000
423102231302202010
5144313014402122
65323100041300
7606321050331
oct132255624204
934260547500
1012125153412
115162373249
122424833230
1311b30742b8
148304b9988
154ae7430ac
hex2d2b72884

12125153412 has 60 divisors (see below), whose sum is σ = 31780632576. Its totient is φ = 4031123760.

The previous prime is 12125153401. The next prime is 12125153429. The reversal of 12125153412 is 21435152121.

It is a happy number.

12125153412 is a `hidden beast` number, since 1 + 2 + 125 + 1 + 534 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75237 + ... + 172947.

Almost surely, 212125153412 is an apocalyptic number.

12125153412 is a gapful number since it is divisible by the number (12) 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 12125153412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15890316288).

12125153412 is an abundant number, since it is smaller than the sum of its proper divisors (19655479164).

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

12125153412 is a wasteful number, since it uses less digits than its factorization.

12125153412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98110 (or 98099 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The spelling of 12125153412 in words is "twelve billion, one hundred twenty-five million, one hundred fifty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 383 766 1149 1532 2298 3447 4596 6894 10341 13788 20682 31023 41364 62046 97711 124092 195422 293133 390844 586266 879399 1172532 1758798 2638197 3517596 5276394 7914591 10552788 15829182 31658364 37423313 74846626 112269939 149693252 224539878 336809817 449079756 673619634 1010429451 1347239268 2020858902 3031288353 4041717804 6062576706 12125153412