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12220136320 = 275713072087
BaseRepresentation
bin10110110000110000…
…00111101110000000
31011112122100020121111
423120120013232000
5200011323330240
65340331533104
7611553305410
oct133030075600
934478306544
1012220136320
115200a48317
1224505ba194
1311c994c2c2
1483cd62640
154b7c561ea
hex2d8607b80

12220136320 has 128 divisors (see below), whose sum is σ = 33428712960. Its totient is φ = 4184549376.

The previous prime is 12220136317. The next prime is 12220136363. The reversal of 12220136320 is 2363102221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 12220136291 and 12220136300.

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, 5854317 + ... + 5856403.

It is an arithmetic number, because the mean of its divisors is an integer number (261161820).

Almost surely, 212220136320 is an apocalyptic number.

12220136320 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 12220136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16714356480).

12220136320 is an abundant number, since it is smaller than the sum of its proper divisors (21208576640).

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

12220136320 is a wasteful number, since it uses less digits than its factorization.

12220136320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12220136320 its reverse (2363102221), we get a palindrome (14583238541).

The spelling of 12220136320 in words is "twelve billion, two hundred twenty million, one hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 1307 2087 2240 2614 4174 4480 5228 6535 8348 9149 10435 10456 13070 14609 16696 18298 20870 20912 26140 29218 33392 36596 41740 41824 45745 52280 58436 66784 73045 73192 83480 83648 91490 104560 116872 133568 146090 146384 166960 167296 182980 209120 233744 267136 292180 292768 333920 365960 418240 467488 584360 585536 667840 731920 836480 934976 1168720 1171072 1335680 1463840 1869952 2337440 2727709 2927680 4674880 5455418 5855360 9349760 10910836 13638545 19093963 21821672 27277090 38187926 43643344 54554180 76375852 87286688 95469815 109108360 152751704 174573376 190939630 218216720 305503408 349146752 381879260 436433440 611006816 763758520 872866880 1222013632 1527517040 1745733760 2444027264 3055034080 6110068160 12220136320