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12120000001010 = 251117101109358711
BaseRepresentation
bin1011000001011110100001…
…0010110111001111110010
31120220122211122020202200022
42300113220102313033302
53042033230000013020
641435503502323442
72360432620130606
oct260275022671762
946818748222608
1012120000001010
11395307703a760
121438b2b589582
1369bbac8a7545
142dc87ad25506
15160407dc6625
hexb05e84b73f2

12120000001010 has 128 divisors (see below), whose sum is σ = 25472444502528. Its totient is φ = 4103124480000.

The previous prime is 12120000001007. The next prime is 12120000001033. The reversal of 12120000001010 is 1010000002121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206405555 + ... + 206464265.

It is an arithmetic number, because the mean of its divisors is an integer number (199003472676).

Almost surely, 212120000001010 is an apocalyptic number.

12120000001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12120000001010 is an abundant number, since it is smaller than the sum of its proper divisors (13352444501518).

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

12120000001010 is a wasteful number, since it uses less digits than its factorization.

12120000001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59940.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12120000001010 its reverse (1010000002121), we get a palindrome (13130000003131).

The spelling of 12120000001010 in words is "twelve trillion, one hundred twenty billion, one thousand, ten".

Divisors: 1 2 5 10 11 17 22 34 55 85 101 110 170 187 202 374 505 935 1010 1093 1111 1717 1870 2186 2222 3434 5465 5555 8585 10930 11110 12023 17170 18581 18887 24046 37162 37774 58711 60115 92905 94435 110393 117422 120230 185810 188870 204391 220786 293555 408782 551965 587110 645821 998087 1021955 1103930 1214323 1291642 1876681 1996174 2043910 2428646 3229105 3753362 4990435 5929811 6071615 6458210 9383405 9980870 10978957 11859622 12143230 18766810 20643491 21957914 29649055 41286982 54894785 59298110 64171123 65227921 100806787 103217455 109789570 128342246 130455842 201613574 206434910 320855615 326139605 504033935 641711230 652279210 705882353 1008067870 1090909091 1108874657 1411764706 2181818182 2217749314 3529411765 5454545455 5544373285 6481283423 7058823530 10909090910 11088746570 12000000001 12962566846 24000000002 32406417115 60000000005 64812834230 71294117653 110181818191 120000000010 142588235306 220363636382 356470588265 550909090955 712941176530 1101818181910 1212000000101 2424000000202 6060000000505 12120000001010