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12031011960 = 23351131294013
BaseRepresentation
bin10110011010001101…
…01010110001111000
31011001110110201202120
423031012222301320
5144114414340320
65305454201240
7604065625422
oct131506526170
934043421676
1012031011960
1151142133a0
1223b91b3220
1311997022b6
14821bb1812
154a6349440
hex2cd1aac78

12031011960 has 128 divisors (see below), whose sum is σ = 40644495360. Its totient is φ = 2822515200.

The previous prime is 12031011943. The next prime is 12031011961. The reversal of 12031011960 is 6911013021.

12031011960 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12031011960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031011961) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 106087 + ... + 187926.

It is an arithmetic number, because the mean of its divisors is an integer number (317535120).

Almost surely, 212031011960 is an apocalyptic number.

12031011960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12031011960 is an abundant number, since it is smaller than the sum of its proper divisors (28613483400).

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

12031011960 is a wasteful number, since it uses less digits than its factorization.

12031011960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294069 (or 294065 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

Adding to 12031011960 its reverse (6911013021), we get a palindrome (18942024981).

The spelling of 12031011960 in words is "twelve billion, thirty-one million, eleven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 31 33 40 44 55 60 62 66 88 93 110 120 124 132 155 165 186 220 248 264 310 330 341 372 440 465 620 660 682 744 930 1023 1240 1320 1364 1705 1860 2046 2728 3410 3720 4092 5115 6820 8184 10230 13640 20460 40920 294013 588026 882039 1176052 1470065 1764078 2352104 2940130 3234143 3528156 4410195 5880260 6468286 7056312 8820390 9114403 9702429 11760520 12936572 16170715 17640780 18228806 19404858 25873144 27343209 32341430 35281560 36457612 38809716 45572015 48512145 54686418 64682860 72915224 77619432 91144030 97024290 100258433 109372836 129365720 136716045 182288060 194048580 200516866 218745672 273432090 300775299 364576120 388097160 401033732 501292165 546864180 601550598 802067464 1002584330 1093728360 1203101196 1503876495 2005168660 2406202392 3007752990 4010337320 6015505980 12031011960