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12228764160 = 29352416607
BaseRepresentation
bin10110110001110010…
…00010001000000000
31011120020120120210010
423120321002020000
5200021030423120
65341240504520
7612016531434
oct133071021000
934506516703
1012228764160
115205900568
12245347b140
1311cb680432
1484016a9c4
154b88ac7e0
hex2d8e42200

12228764160 has 160 divisors (see below), whose sum is σ = 39261987072. Its totient is φ = 3246981120.

The previous prime is 12228764129. The next prime is 12228764189. The reversal of 12228764160 is 6146782221.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1847577 + ... + 1854183.

Almost surely, 212228764160 is an apocalyptic number.

12228764160 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 12228764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19630993536).

12228764160 is an abundant number, since it is smaller than the sum of its proper divisors (27033222912).

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

12228764160 is an equidigital number, since it uses as much as digits as its factorization.

12228764160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6874 (or 6858 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 12228764160 in words is "twelve billion, two hundred twenty-eight million, seven hundred sixty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 241 256 320 384 480 482 512 640 723 768 960 964 1205 1280 1446 1536 1920 1928 2410 2560 2892 3615 3840 3856 4820 5784 6607 7230 7680 7712 9640 11568 13214 14460 15424 19280 19821 23136 26428 28920 30848 33035 38560 39642 46272 52856 57840 61696 66070 77120 79284 92544 99105 105712 115680 123392 132140 154240 158568 185088 198210 211424 231360 264280 308480 317136 370176 396420 422848 462720 528560 616960 634272 792840 845696 925440 1057120 1268544 1585680 1592287 1691392 1850880 2114240 2537088 3171360 3184574 3382784 4228480 4776861 5074176 6342720 6369148 7961435 8456960 9553722 10148352 12685440 12738296 15922870 16913920 19107444 23884305 25370880 25476592 31845740 38214888 47768610 50741760 50953184 63691480 76429776 95537220 101906368 127382960 152859552 191074440 203812736 254765920 305719104 382148880 407625472 509531840 611438208 764297760 815250944 1019063680 1222876416 1528595520 2038127360 2445752832 3057191040 4076254720 6114382080 12228764160