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1312100220120 = 233547239973397
BaseRepresentation
bin10011000101111111010…
…001000111110011011000
311122102202112001022201220
4103011333101013303120
5132444140124020440
62442434233212040
7163540031565144
oct23057721076330
94572675038656
101312100220120
11466505405708
12192363861020
1396965c4b9c1
1447712614224
15241e63908d0
hex1317f447cd8

1312100220120 has 128 divisors (see below), whose sum is σ = 4036876185600. Its totient is φ = 341015661056.

The previous prime is 1312100220097. The next prime is 1312100220127. The reversal of 1312100220120 is 210220012131.

Adding to 1312100220120 its reverse (210220012131), we get a palindrome (1522320232251).

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 1312100220120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312100220127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 861262 + ... + 1834658.

It is an arithmetic number, because the mean of its divisors is an integer number (31538095200).

Almost surely, 21312100220120 is an apocalyptic number.

1312100220120 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 1312100220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018438092800).

1312100220120 is an abundant number, since it is smaller than the sum of its proper divisors (2724775965480).

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

1312100220120 is a wasteful number, since it uses less digits than its factorization.

1312100220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973697 (or 973693 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The spelling of 1312100220120 in words is "one trillion, three hundred twelve billion, one hundred million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 239 282 376 470 478 564 705 717 940 956 1128 1195 1410 1434 1880 1912 2390 2820 2868 3585 4780 5640 5736 7170 9560 11233 14340 22466 28680 33699 44932 56165 67398 89864 112330 134796 168495 224660 269592 336990 449320 673980 973397 1347960 1946794 2920191 3893588 4866985 5840382 7787176 9733970 11680764 14600955 19467940 23361528 29201910 38935880 45749659 58403820 91499318 116807640 137248977 182998636 228748295 232641883 274497954 365997272 457496590 465283766 548995908 686244885 697925649 914993180 930567532 1097991816 1163209415 1372489770 1395851298 1829986360 1861135064 2326418830 2744979540 2791702596 3489628245 4652837660 5489959080 5583405192 6979256490 9305675320 10934168501 13958512980 21868337002 27917025960 32802505503 43736674004 54670842505 65605011006 87473348008 109341685010 131210022012 164012527515 218683370020 262420044024 328025055030 437366740040 656050110060 1312100220120