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12130023120 = 243558798597
BaseRepresentation
bin10110100110000000…
…10111011011010000
31011022100210000112120
423103000113123100
5144320241214440
65323352254240
7606410331615
oct132300273320
934270700476
1012130023120
1151650999a6
1224263a1380
1311b408a997
14830dc650c
154aeda5dd0
hex2d30176d0

12130023120 has 80 divisors (see below), whose sum is σ = 37613842560. Its totient is φ = 3233746432.

The previous prime is 12130023089. The next prime is 12130023127. The reversal of 12130023120 is 2132003121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12130023120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130023127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1406662 + ... + 1415258.

It is an arithmetic number, because the mean of its divisors is an integer number (470173032).

Almost surely, 212130023120 is an apocalyptic number.

12130023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12130023120 is an abundant number, since it is smaller than the sum of its proper divisors (25483819440).

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

12130023120 is a wasteful number, since it uses less digits than its factorization.

12130023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14492 (or 14486 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12130023120 its reverse (2132003121), we get a palindrome (14262026241).

The spelling of 12130023120 in words is "twelve billion, one hundred thirty million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5879 8597 11758 17194 17637 23516 25791 29395 34388 35274 42985 47032 51582 58790 68776 70548 85970 88185 94064 103164 117580 128955 137552 141096 171940 176370 206328 235160 257910 282192 343880 352740 412656 470320 515820 687760 705480 1031640 1410960 2063280 50541763 101083526 151625289 202167052 252708815 303250578 404334104 505417630 606501156 758126445 808668208 1010835260 1213002312 1516252890 2021670520 2426004624 3032505780 4043341040 6065011560 12130023120