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12244302320 = 245414997481
BaseRepresentation
bin10110110011101000…
…10011100111110000
31011121022211000010112
423121310103213300
5200034020133240
65342553520452
7612265565255
oct133164234760
934538730115
1012244302320
115213653618
122458713128
131201960a03
1484225342c
154b9e2b665
hex2d9d139f0

12244302320 has 80 divisors (see below), whose sum is σ = 29224692000. Its totient is φ = 4768051200.

The previous prime is 12244302307. The next prime is 12244302383. The reversal of 12244302320 is 2320344221.

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

It is a congruent number.

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, 1632980 + ... + 1640460.

It is an arithmetic number, because the mean of its divisors is an integer number (365308650).

Almost surely, 212244302320 is an apocalyptic number.

12244302320 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 12244302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14612346000).

12244302320 is an abundant number, since it is smaller than the sum of its proper divisors (16980389680).

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

12244302320 is a wasteful number, since it uses less digits than its factorization.

12244302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8034 (or 8028 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 12244302320 its reverse (2320344221), we get a palindrome (14564646541).

The spelling of 12244302320 in words is "twelve billion, two hundred forty-four million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 499 656 820 998 1640 1996 2495 3280 3992 4990 7481 7984 9980 14962 19960 20459 29924 37405 39920 40918 59848 74810 81836 102295 119696 149620 163672 204590 299240 306721 327344 409180 598480 613442 818360 1226884 1533605 1636720 2453768 3067210 3733019 4907536 6134420 7466038 12268840 14932076 18665095 24537680 29864152 37330190 59728304 74660380 149320760 153053779 298641520 306107558 612215116 765268895 1224430232 1530537790 2448860464 3061075580 6122151160 12244302320