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12120100132200 = 23352171188245111
BaseRepresentation
bin1011000001011110111001…
…0000110101010101101000
31120220200002121122221211220
42300113232100311111220
53042033431113212300
641435521440422040
72360435244210354
oct260275620652550
946820077587756
1012120100132200
113953118610805
121438b59017920
1369bbc7565978
142dc88a34c464
15160411aa4da0
hexb05ee435568

12120100132200 has 96 divisors (see below), whose sum is σ = 39782446349760. Its totient is φ = 3041907481600.

The previous prime is 12120100132181. The next prime is 12120100132201. The reversal of 12120100132200 is 223100102121.

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 12120100132200.

It is not an unprimeable number, because it can be changed into a prime (12120100132201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594112356 + ... + 594132755.

It is an arithmetic number, because the mean of its divisors is an integer number (414400482810).

Almost surely, 212120100132200 is an apocalyptic number.

12120100132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120100132200 is an abundant number, since it is smaller than the sum of its proper divisors (27662346217560).

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

12120100132200 is a wasteful number, since it uses less digits than its factorization.

12120100132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188245147 (or 1188245138 counting only the distinct ones).

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

Adding to 12120100132200 its reverse (223100102121), we get a palindrome (12343200234321).

The spelling of 12120100132200 in words is "twelve trillion, one hundred twenty billion, one hundred million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 1188245111 2376490222 3564735333 4752980444 5941225555 7129470666 9505960888 11882451110 14258941332 17823676665 20200166887 23764902220 28517882664 29706127775 35647353330 40400333774 47529804440 59412255550 60600500661 71294706660 80800667548 89118383325 101000834435 118824511100 121201001322 142589413320 161601335096 178236766650 202001668870 237649022200 242402002644 303002503305 356473533300 404003337740 484804005288 505004172175 606005006610 712947066600 808006675480 1010008344350 1212010013220 1515012516525 2020016688700 2424020026440 3030025033050 4040033377400 6060050066100 12120100132200