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12222315440 = 2451931259387
BaseRepresentation
bin10110110001000000…
…11011101110110000
31011112210102221210122
423120200123232300
5200012403043230
65340450345412
7611610652466
oct133040335660
934483387718
1012222315440
1152021a6545
12245128b268
1311ca23311a
1483d36c836
154b8036be5
hex2d881bbb0

12222315440 has 80 divisors (see below), whose sum is σ = 30877547520. Its totient is φ = 4482190080.

The previous prime is 12222315439. The next prime is 12222315463. The reversal of 12222315440 is 4451322221.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82574 + ... + 176813.

It is an arithmetic number, because the mean of its divisors is an integer number (385969344).

Almost surely, 212222315440 is an apocalyptic number.

12222315440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12222315440 is an abundant number, since it is smaller than the sum of its proper divisors (18655232080).

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

12222315440 is a wasteful number, since it uses less digits than its factorization.

12222315440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259450 (or 259444 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 12222315440 its reverse (4451322221), we get a palindrome (16673637661).

The spelling of 12222315440 in words is "twelve billion, two hundred twenty-two million, three hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 31 38 40 62 76 80 95 124 152 155 190 248 304 310 380 496 589 620 760 1178 1240 1520 2356 2480 2945 4712 5890 9424 11780 23560 47120 259387 518774 1037548 1296935 2075096 2593870 4150192 4928353 5187740 8040997 9856706 10375480 16081994 19713412 20750960 24641765 32163988 39426824 40204985 49283530 64327976 78853648 80409970 98567060 128655952 152778943 160819940 197134120 305557886 321639880 394268240 611115772 643279760 763894715 1222231544 1527789430 2444463088 3055578860 6111157720 12222315440