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12138055188 = 2237310328631
BaseRepresentation
bin10110100110111110…
…00000011000010100
31011022220220002110120
423103133000120110
5144324320231223
65324240351540
7606535524000
oct132337003024
934286802416
1012138055188
115169685576
1224290155b0
1311b594089c
148320b7700
154b0940be3
hex2d37c0614

12138055188 has 96 divisors (see below), whose sum is σ = 33350553600. Its totient is φ = 3434225760.

The previous prime is 12138055147. The next prime is 12138055253. The reversal of 12138055188 is 88155083121.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409633 + ... + 438263.

It is an arithmetic number, because the mean of its divisors is an integer number (347401600).

Almost surely, 212138055188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12138055188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16675276800).

12138055188 is an abundant number, since it is smaller than the sum of its proper divisors (21212498412).

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

12138055188 is a wasteful number, since it uses less digits than its factorization.

12138055188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28762 (or 28746 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 42.

The spelling of 12138055188 in words is "twelve billion, one hundred thirty-eight million, fifty-five thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 103 147 196 206 294 309 343 412 588 618 686 721 1029 1236 1372 1442 2058 2163 2884 4116 4326 5047 8652 10094 15141 20188 28631 30282 35329 57262 60564 70658 85893 105987 114524 141316 171786 200417 211974 343572 400834 423948 601251 801668 1202502 1402919 2405004 2805838 2948993 4208757 5611676 5897986 8417514 8846979 9820433 11795972 16835028 17693958 19640866 20642951 29461299 35387916 39281732 41285902 58922598 61928853 82571804 117845196 123857706 144500657 247715412 289001314 433501971 578002628 867003942 1011504599 1734007884 2023009198 3034513797 4046018396 6069027594 12138055188