Search a number
-
+
12320032131120 = 2435773100456883
BaseRepresentation
bin1011001101000111101100…
…1000111000100000110000
31121121210011012222211101210
42303101323020320200300
53103322411211143440
642111424501200120
72411043611154450
oct263217310704060
947553135884353
1012320032131120
113a1a994a5676a
12146b855a00040
136b4a0a7660cc
143084153abd60
15165714095a80
hexb347b238830

12320032131120 has 160 divisors (see below), whose sum is σ = 44246033644032. Its totient is φ = 2777431873536.

The previous prime is 12320032131109. The next prime is 12320032131131. The reversal of 12320032131120 is 2113123002321.

It is an interprime number because it is at equal distance from previous prime (12320032131109) and next prime (12320032131131).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 50105802 + ... + 50351081.

Almost surely, 212320032131120 is an apocalyptic number.

12320032131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12320032131120 is an abundant number, since it is smaller than the sum of its proper divisors (31926001512912).

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

12320032131120 is a wasteful number, since it uses less digits than its factorization.

12320032131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100456979 (or 100456973 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12320032131120 its reverse (2113123002321), we get a palindrome (14433155133441).

The spelling of 12320032131120 in words is "twelve trillion, three hundred twenty billion, thirty-two million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 73 80 84 105 112 120 140 146 168 210 219 240 280 292 336 365 420 438 511 560 584 730 840 876 1022 1095 1168 1460 1533 1680 1752 2044 2190 2555 2920 3066 3504 4088 4380 5110 5840 6132 7665 8176 8760 10220 12264 15330 17520 20440 24528 30660 40880 61320 122640 100456883 200913766 301370649 401827532 502284415 602741298 703198181 803655064 1004568830 1205482596 1406396362 1506853245 1607310128 2009137660 2109594543 2410965192 2812792724 3013706490 3515990905 4018275320 4219189086 4821930384 5625585448 6027412980 7031981810 7333352459 8036550640 8438378172 10547972715 11251170896 12054825960 14063963620 14666704918 16876756344 21095945430 22000057377 24109651920 28127927240 29333409836 33753512688 36666762295 42191890860 44000114754 51333467213 56255854480 58666819672 73333524590 84383781720 88000229508 102666934426 110000286885 117333639344 146667049180 154000401639 168767563440 176000459016 205333868852 220000573770 256667336065 293334098360 308000803278 352000918032 410667737704 440001147540 513334672130 586668196720 616001606556 770002008195 821335475408 880002295080 1026669344260 1232003213112 1540004016390 1760004590160 2053338688520 2464006426224 3080008032780 4106677377040 6160016065560 12320032131120