Search a number
-
+
12134769120 = 2532512776599
BaseRepresentation
bin10110100110100100…
…11110000111100000
31011022200201010211100
423103102132013200
5144323000102440
65324042114400
7606465556425
oct132322360740
934280633740
1012134769120
115167840711
122427aaba00
1311b505cc76
1483189dd4c
154b04e2230
hex2d349e1e0

12134769120 has 144 divisors (see below), whose sum is σ = 41448607200. Its totient is φ = 3232914432.

The previous prime is 12134769103. The next prime is 12134769131. The reversal of 12134769120 is 2196743121.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1835581 + ... + 1842179.

It is an arithmetic number, because the mean of its divisors is an integer number (287837550).

Almost surely, 212134769120 is an apocalyptic number.

12134769120 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 12134769120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20724303600).

12134769120 is an abundant number, since it is smaller than the sum of its proper divisors (29313838080).

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

12134769120 is a wasteful number, since it uses less digits than its factorization.

12134769120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7897 (or 7886 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 12134769120 in words is "twelve billion, one hundred thirty-four million, seven hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1277 1440 2554 3831 5108 6385 6599 7662 10216 11493 12770 13198 15324 19155 19797 20432 22986 25540 26396 30648 32995 38310 39594 40864 45972 51080 52792 57465 59391 61296 65990 76620 79188 91944 98985 102160 105584 114930 118782 122592 131980 153240 158376 183888 197970 204320 211168 229860 237564 263960 296955 306480 316752 367776 395940 459720 475128 527920 593910 612960 633504 791880 919440 950256 1055840 1187820 1583760 1838880 1900512 2375640 3167520 4751280 8426923 9502560 16853846 25280769 33707692 42134615 50561538 67415384 75842307 84269230 101123076 126403845 134830768 151684614 168538460 202246152 252807690 269661536 303369228 337076920 379211535 404492304 505615380 606738456 674153840 758423070 808984608 1011230760 1213476912 1348307680 1516846140 2022461520 2426953824 3033692280 4044923040 6067384560 12134769120