Search a number
-
+
121312231312300 = 22527271597345791
BaseRepresentation
bin11011100101010100110100…
…011101000100101110101100
3120220112100001222111112100021
4123211110310131010232230
5111400034422203443200
61110002023020011524
734360343116252300
oct3345246435045654
9526470058445307
10121312231312300
1135721256a77366
1211733158990ba4
13528c9045872c2
1421d5786c49d00
15e0592228d41a
hex6e5534744bac

121312231312300 has 108 divisors (see below), whose sum is σ = 306231895154304. Its totient is φ = 41592063811200.

The previous prime is 121312231312271. The next prime is 121312231312313. The reversal of 121312231312300 is 3213132213121.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 350652405 + ... + 350998195.

It is an arithmetic number, because the mean of its divisors is an integer number (2835480510688).

Almost surely, 2121312231312300 is an apocalyptic number.

121312231312300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121312231312300 is an abundant number, since it is smaller than the sum of its proper divisors (184919663842004).

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

121312231312300 is a wasteful number, since it uses less digits than its factorization.

121312231312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417416 (or 417402 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 121312231312300 its reverse (3213132213121), we get a palindrome (124525363525421).

The spelling of 121312231312300 in words is "one hundred twenty-one trillion, three hundred twelve billion, two hundred thirty-one million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 71597 143194 286388 345791 357985 501179 691582 715970 1002358 1383164 1431940 1728955 1789925 2004716 2420537 2505895 3457910 3508253 3579850 4841074 5011790 6915820 7016506 7159700 8644775 9682148 10023580 12102685 12529475 14033012 16943759 17289550 17541265 24205370 25058950 33887518 34579100 35082530 48410740 50117900 60513425 67775036 70165060 84718795 87706325 121026850 169437590 175412650 242053700 338875180 350825300 423593975 847187950 1694375900 24757598227 49515196454 99030392908 123787991135 173303187589 247575982270 346606375178 495151964540 618939955675 693212750356 866515937945 1213122313123 1237879911350 1733031875890 2426244626246 2475759822700 3466063751780 4332579689725 4852489252492 6065611565615 8665159379450 12131223131230 17330318758900 24262446262460 30328057828075 60656115656150 121312231312300