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12133033440 = 2535112297923
BaseRepresentation
bin10110100110010111…
…10110010111100000
31011022120102221220220
423103023312113200
5144322024032230
65323541003040
7606445040223
oct132313662740
934276387826
1012133033440
115166865670
1224273b3480
1311b48a2c38
1483156b5ba
154b029cd10
hex2d32f65e0

12133033440 has 96 divisors (see below), whose sum is σ = 41693533056. Its totient is φ = 2941340160.

The previous prime is 12133033421. The next prime is 12133033447. The reversal of 12133033440 is 4433033121.

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 12133033440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133033447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1143682 + ... + 1154241.

It is an arithmetic number, because the mean of its divisors is an integer number (434307636).

Almost surely, 212133033440 is an apocalyptic number.

12133033440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12133033440 is an abundant number, since it is smaller than the sum of its proper divisors (29560499616).

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

12133033440 is a wasteful number, since it uses less digits than its factorization.

12133033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297952 (or 2297944 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12133033440 its reverse (4433033121), we get a palindrome (16566066561).

The spelling of 12133033440 in words is "twelve billion, one hundred thirty-three million, thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 2297923 4595846 6893769 9191692 11489615 13787538 18383384 22979230 25277153 27575076 34468845 36766768 45958460 50554306 55150152 68937690 73533536 75831459 91916920 101108612 110300304 126385765 137875380 151662918 183833840 202217224 220600608 252771530 275750760 303325836 367667680 379157295 404434448 505543060 551501520 606651672 758314590 808868896 1011086120 1103003040 1213303344 1516629180 2022172240 2426606688 3033258360 4044344480 6066516720 12133033440