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12032121010 = 2573131491811
BaseRepresentation
bin10110011010010101…
…11001100010110010
31011001112120002002111
423031022321202302
5144120210333020
65305534035534
7604111225000
oct131512714262
934045502074
1012032121010
115114900668
1223b9648baa
131199a00040
14821dbda70
154a64b7d5a
hex2cd2b98b2

12032121010 has 128 divisors (see below), whose sum is σ = 27397440000. Its totient is φ = 3780322560.

The previous prime is 12032121001. The next prime is 12032121029. The reversal of 12032121010 is 1012123021.

12032121010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6643005 + ... + 6644815.

It is an arithmetic number, because the mean of its divisors is an integer number (214042500).

Almost surely, 212032121010 is an apocalyptic number.

12032121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12032121010 is an abundant number, since it is smaller than the sum of its proper divisors (15365318990).

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

12032121010 is a wasteful number, since it uses less digits than its factorization.

12032121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12032121010 its reverse (1012123021), we get a palindrome (13044244031).

The spelling of 12032121010 in words is "twelve billion, thirty-two million, one hundred twenty-one thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 149 182 245 298 343 455 490 637 686 745 910 1043 1274 1490 1715 1811 1937 2086 3185 3430 3622 3874 4459 5215 6370 7301 8918 9055 9685 10430 12677 13559 14602 18110 19370 22295 23543 25354 27118 36505 44590 47086 51107 63385 67795 73010 88739 94913 102214 117715 126770 135590 164801 177478 189826 235430 255535 269839 329602 443695 474565 511070 539678 621173 664391 824005 887390 949130 1153607 1242346 1328782 1349195 1648010 1888873 2307214 2698390 3105865 3321955 3507907 3777746 5768035 6211730 6643910 7015814 8075249 9444365 11536070 13222111 16150498 17539535 18888730 24555349 26444222 35079070 40376245 49110698 66110555 80752490 92554777 122776745 132221110 171887443 185109554 245553490 343774886 462773885 859437215 925547770 1203212101 1718874430 2406424202 6016060505 12032121010