Search a number
-
+
12130022312320 = 275113534881061
BaseRepresentation
bin1011000010000011110110…
…1010111100100110000000
31120221121201002222221011111
42300200331222330212000
53042214241202443240
641444242203253104
72361236155306243
oct260407552744600
946847632887144
1012130022312320
11395734a403570
12143aa67b1a194
1369cb190a7173
142dd14c01525a
151607e2be01ea
hexb083dabc980

12130022312320 has 128 divisors (see below), whose sum is σ = 31724169605280. Its totient is φ = 4398420787200.

The previous prime is 12130022312293. The next prime is 12130022312339. The reversal of 12130022312320 is 2321322003121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12130022312291 and 12130022312300.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 44590 + ... + 4925650.

Almost surely, 212130022312320 is an apocalyptic number.

12130022312320 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 12130022312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15862084802640).

12130022312320 is an abundant number, since it is smaller than the sum of its proper divisors (19594147292960).

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

12130022312320 is a wasteful number, since it uses less digits than its factorization.

12130022312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4881444 (or 4881432 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12130022312320 its reverse (2321322003121), we get a palindrome (14451344315441).

The spelling of 12130022312320 in words is "twelve trillion, one hundred thirty billion, twenty-two million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 353 440 640 704 706 880 1408 1412 1760 1765 2824 3520 3530 3883 5648 7040 7060 7766 11296 14120 15532 19415 22592 28240 31064 38830 45184 56480 62128 77660 112960 124256 155320 225920 248512 310640 497024 621280 1242560 2485120 4881061 9762122 19524244 24405305 39048488 48810610 53691671 78096976 97621220 107383342 156193952 195242440 214766684 268458355 312387904 390484880 429533368 536916710 624775808 780969760 859066736 1073833420 1561939520 1718133472 1723014533 2147666840 3123879040 3436266944 3446029066 4295333680 6872533888 6892058132 8590667360 8615072665 13784116264 17181334720 17230145330 18953159863 27568232528 34362669440 34460290660 37906319726 55136465056 68920581320 75812639452 94765799315 110272930112 137841162640 151625278904 189531598630 220545860224 275682325280 303250557808 379063197260 551364650560 606501115616 758126394520 1102729301120 1213002231232 1516252789040 2426004462464 3032505578080 6065011156160 12130022312320