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12222340440 = 2335719371531
BaseRepresentation
bin10110110001000001…
…00001110101011000
31011112210111020002120
423120200201311120
5200012404343230
65340451101240
7611611115412
oct133040416530
934483436076
1012222340440
115202213302
1224512a1820
1311ca24160b
1483d3779b2
154b803e310
hex2d8821d58

12222340440 has 128 divisors (see below), whose sum is σ = 37247454720. Its totient is φ = 3207859200.

The previous prime is 12222340439. The next prime is 12222340447. The reversal of 12222340440 is 4404322221.

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 12222340440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222340447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7982475 + ... + 7984005.

It is an arithmetic number, because the mean of its divisors is an integer number (290995740).

Almost surely, 212222340440 is an apocalyptic number.

12222340440 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 12222340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18623727360).

12222340440 is an abundant number, since it is smaller than the sum of its proper divisors (25025114280).

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

12222340440 is a wasteful number, since it uses less digits than its factorization.

12222340440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 12222340440 its reverse (4404322221), we get a palindrome (16626662661).

The spelling of 12222340440 in words is "twelve billion, two hundred twenty-two million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 937 1065 1420 1531 1704 1874 2130 2811 2840 3062 3748 4260 4593 4685 5622 6124 7496 7655 8520 9186 9370 11244 12248 14055 15310 18372 18740 22488 22965 28110 30620 36744 37480 45930 56220 61240 66527 91860 108701 112440 133054 183720 199581 217402 266108 326103 332635 399162 434804 532216 543505 652206 665270 798324 869608 997905 1087010 1304412 1330540 1434547 1596648 1630515 1995810 2174020 2608824 2661080 2869094 3261030 3991620 4303641 4348040 5738188 6522060 7172735 7983240 8607282 11476376 13044120 14345470 17214564 21518205 28690940 34429128 43036410 57381880 86072820 101852837 172145640 203705674 305558511 407411348 509264185 611117022 814822696 1018528370 1222234044 1527792555 2037056740 2444468088 3055585110 4074113480 6111170220 12222340440