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12225013440 = 263519670231
BaseRepresentation
bin10110110001010101…
…01110011011000000
31011112222112000202120
423120222232123000
5200014100412230
65341024244240
7611642620413
oct133052563300
934488460676
1012225013440
1152037795a2
122452170680
1311ca969183
1483d871b7a
154b83bb310
hex2d8aae6c0

12225013440 has 112 divisors (see below), whose sum is σ = 40857342720. Its totient is φ = 3088419840.

The previous prime is 12225013397. The next prime is 12225013447. The reversal of 12225013440 is 4431052221.

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 12225013440.

It is not an unprimeable number, because it can be changed into a prime (12225013447) 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, 316876 + ... + 353355.

Almost surely, 212225013440 is an apocalyptic number.

12225013440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12225013440 is an abundant number, since it is smaller than the sum of its proper divisors (28632329280).

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

12225013440 is a wasteful number, since it uses less digits than its factorization.

12225013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670270 (or 670260 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 12225013440 its reverse (4431052221), we get a palindrome (16656065661).

The spelling of 12225013440 in words is "twelve billion, two hundred twenty-five million, thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 4560 6080 9120 18240 670231 1340462 2010693 2680924 3351155 4021386 5361848 6702310 8042772 10053465 10723696 12734389 13404620 16085544 20106930 21447392 25468778 26809240 32171088 38203167 40213860 42894784 50937556 53618480 63671945 64342176 76406334 80427720 101875112 107236960 127343890 128684352 152812668 160855440 191015835 203750224 214473920 254687780 305625336 321710880 382031670 407500448 509375560 611250672 643421760 764063340 815000896 1018751120 1222501344 1528126680 2037502240 2445002688 3056253360 4075004480 6112506720 12225013440