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12213144420 = 22351788113591
BaseRepresentation
bin10110101111111010…
…11100101101100100
31011112011012000112020
423113331130231210
5200003031110140
65335522023140
7611440005021
oct132775345544
934464160466
1012213144420
1151a8002194
12244a1a7ab0
1311c8371999
1483c062548
154b73246d0
hex2d7f5cb64

12213144420 has 96 divisors (see below), whose sum is σ = 36252147456. Its totient is φ = 3061555200.

The previous prime is 12213144409. The next prime is 12213144421. The reversal of 12213144420 is 2444131221.

It is not an unprimeable number, because it can be changed into a prime (12213144421) 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, 891825 + ... + 905415.

It is an arithmetic number, because the mean of its divisors is an integer number (377626536).

Almost surely, 212213144420 is an apocalyptic number.

12213144420 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 12213144420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18126073728).

12213144420 is an abundant number, since it is smaller than the sum of its proper divisors (24039003036).

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

12213144420 is a wasteful number, since it uses less digits than its factorization.

12213144420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14501 (or 14499 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12213144420 its reverse (2444131221), we get a palindrome (14657275641).

The spelling of 12213144420 in words is "twelve billion, two hundred thirteen million, one hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 881 1020 1762 2643 3524 4405 5286 8810 10572 13215 13591 14977 17620 26430 27182 29954 40773 44931 52860 54364 59908 67955 74885 81546 89862 135910 149770 163092 179724 203865 224655 231047 271820 299540 407730 449310 462094 693141 815460 898620 924188 1155235 1386282 2310470 2772564 3465705 4620940 6931410 11973671 13862820 23947342 35921013 47894684 59868355 71842026 119736710 143684052 179605065 203552407 239473420 359210130 407104814 610657221 718420260 814209628 1017762035 1221314442 2035524070 2442628884 3053286105 4071048140 6106572210 12213144420