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12120130210110 = 23513113405767789
BaseRepresentation
bin1011000001011111000000…
…0011100100100100111110
31120220200011201021001222120
42300113300003210210332
53042034011313210420
641435524433223410
72360436060652146
oct260276003444476
946820151231876
1012120130210110
11395313359478a
121438b67101b66
1369bc00867250
142dc89033b926
15160414546d40
hexb05f00e493e

12120130210110 has 128 divisors (see below), whose sum is σ = 31611351219840. Its totient is φ = 2956242272256.

The previous prime is 12120130210093. The next prime is 12120130210313. The reversal of 12120130210110 is 1101203102121.

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 12120130210110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178758096 + ... + 178825884.

It is an arithmetic number, because the mean of its divisors is an integer number (246963681405).

Almost surely, 212120130210110 is an apocalyptic number.

12120130210110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120130210110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15805675609920).

12120130210110 is an abundant number, since it is smaller than the sum of its proper divisors (19491221009730).

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

12120130210110 is a wasteful number, since it uses less digits than its factorization.

12120130210110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71982.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12120130210110 its reverse (1101203102121), we get a palindrome (13221333312231).

The spelling of 12120130210110 in words is "twelve trillion, one hundred twenty billion, one hundred thirty million, two hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 113 130 195 226 339 390 565 678 1130 1469 1695 2938 3390 4057 4407 7345 8114 8814 12171 14690 20285 22035 24342 40570 44070 52741 60855 67789 105482 121710 135578 158223 203367 263705 316446 338945 406734 458441 527410 677890 791115 881257 916882 1016835 1375323 1582230 1762514 2033670 2292205 2643771 2750646 4406285 4584410 5287542 5959733 6876615 7660157 8812570 11919466 13218855 13753230 15320314 17879199 22980471 26437710 29798665 35758398 38300785 45960942 59597330 76601570 89395995 99582041 114902355 178791990 199164082 229804710 275019973 298746123 497910205 550039946 597492246 825059919 995820410 1375099865 1493730615 1650119838 2750199730 2987461230 3575259649 4125299595 7150519298 8250599190 10725778947 17876298245 21451557894 31077256949 35752596490 53628894735 62154513898 93231770847 107257789470 155386284745 186463541694 310772569490 404004340337 466158854235 808008680674 932317708470 1212013021011 2020021701685 2424026042022 4040043403370 6060065105055 12120130210110