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12061523040 = 253573589739
BaseRepresentation
bin10110011101110110…
…00011110001100000
31011010120212212002120
423032323003301200
5144200222214130
65312504144240
7604616153130
oct131673036140
934116785076
1012061523040
11512a462866
122407468080
1311a2b25aa8
14825c74ac0
154a8d74910
hex2ceec3c60

12061523040 has 96 divisors (see below), whose sum is σ = 43421495040. Its totient is φ = 2756918784.

The previous prime is 12061523027. The next prime is 12061523051. The reversal of 12061523040 is 4032516021.

12061523040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12061523040.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1791510 + ... + 1798229.

It is an arithmetic number, because the mean of its divisors is an integer number (452307240).

Almost surely, 212061523040 is an apocalyptic number.

12061523040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12061523040 is an abundant number, since it is smaller than the sum of its proper divisors (31359972000).

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

12061523040 is a wasteful number, since it uses less digits than its factorization.

12061523040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589764 (or 3589756 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 12061523040 in words is "twelve billion, sixty-one million, five hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 3589739 7179478 10769217 14358956 17948695 21538434 25128173 28717912 35897390 43076868 50256346 53846085 57435824 71794780 75384519 86153736 100512692 107692170 114871648 125640865 143589560 150769038 172307472 201025384 215384340 251281730 287179120 301538076 344614944 376922595 402050768 430768680 502563460 574358240 603076152 753845190 804101536 861537360 1005126920 1206152304 1507690380 1723074720 2010253840 2412304608 3015380760 4020507680 6030761520 12061523040