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12133140532000 = 255317916945727
BaseRepresentation
bin1011000010001111011110…
…0010000000101100100000
31120221220202102110220102021
42300203313202000230200
53042242132434011000
641445515433431224
72361406350606565
oct260436742005440
946856672426367
1012133140532000
1139586aa57a124
12143b59826b514
136a01c5111177
142dd3661d286c
1516092683711a
hexb08f7880b20

12133140532000 has 96 divisors (see below), whose sum is σ = 29977670661120. Its totient is φ = 4826142764800.

The previous prime is 12133140531949. The next prime is 12133140532001. The reversal of 12133140532000 is 23504133121.

It is a happy number.

It is a super-2 number, since 2×121331405320002 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12133140532001) 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 15 ways as a sum of consecutive naturals, for example, 7756864 + ... + 9188863.

It is an arithmetic number, because the mean of its divisors is an integer number (312267402720).

Almost surely, 212133140532000 is an apocalyptic number.

12133140532000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12133140532000 is an abundant number, since it is smaller than the sum of its proper divisors (17844530129120).

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

12133140532000 is a wasteful number, since it uses less digits than its factorization.

12133140532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16945931 (or 16945913 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 12133140532000 its reverse (23504133121), we get a palindrome (12156644665121).

The spelling of 12133140532000 in words is "twelve trillion, one hundred thirty-three billion, one hundred forty million, five hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 179 200 250 358 400 500 716 800 895 1000 1432 1790 2000 2864 3580 4000 4475 5728 7160 8950 14320 17900 22375 28640 35800 44750 71600 89500 143200 179000 358000 716000 16945727 33891454 67782908 84728635 135565816 169457270 271131632 338914540 423643175 542263264 677829080 847286350 1355658160 1694572700 2118215875 2711316320 3033285133 3389145400 4236431750 6066570266 6778290800 8472863500 12133140532 13556581600 15166425665 16945727000 24266281064 30332851330 33891454000 48532562128 60665702660 67782908000 75832128325 97065124256 121331405320 151664256650 242662810640 303328513300 379160641625 485325621280 606657026600 758321283250 1213314053200 1516642566500 2426628106400 3033285133000 6066570266000 12133140532000