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12199937880 = 2335138119643
BaseRepresentation
bin10110101110010110…
…00100011101011000
31011111020100001120010
423113023010131120
5144441141003010
65334331001520
7611216522004
oct132713043530
934436301503
1012199937880
1151a0601999
1224458992a0
1311c56c9770
1483a3c5704
154b60b6620
hex2d72c4758

12199937880 has 128 divisors (see below), whose sum is σ = 39467877120. Its totient is φ = 2999047680.

The previous prime is 12199937861. The next prime is 12199937903. The reversal of 12199937880 is 8873999121.

12199937880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12199937880.

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 31 ways as a sum of consecutive naturals, for example, 1260339 + ... + 1269981.

It is an arithmetic number, because the mean of its divisors is an integer number (308342790).

Almost surely, 212199937880 is an apocalyptic number.

12199937880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12199937880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19733938560).

12199937880 is an abundant number, since it is smaller than the sum of its proper divisors (27267939240).

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

12199937880 is a wasteful number, since it uses less digits than its factorization.

12199937880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10481 (or 10477 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 57.

The spelling of 12199937880 in words is "twelve billion, one hundred ninety-nine million, nine hundred thirty-seven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 811 1560 1622 2433 3244 4055 4866 6488 8110 9643 9732 10543 12165 16220 19286 19464 21086 24330 28929 31629 32440 38572 42172 48215 48660 52715 57858 63258 77144 84344 96430 97320 105430 115716 125359 126516 144645 158145 192860 210860 231432 250718 253032 289290 316290 376077 385720 421720 501436 578580 626795 632580 752154 1002872 1157160 1253590 1265160 1504308 1880385 2507180 3008616 3760770 5014360 7521540 7820473 15043080 15640946 23461419 31281892 39102365 46922838 62563784 78204730 93845676 101666149 117307095 156409460 187691352 203332298 234614190 304998447 312818920 406664596 469228380 508330745 609996894 813329192 938456760 1016661490 1219993788 1524992235 2033322980 2439987576 3049984470 4066645960 6099968940 12199937880