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12220222132200 = 23352194631046449
BaseRepresentation
bin1011000111010011110111…
…1111111100111111101000
31121021020112021212112122010
42301310331333330333220
53100204003331212300
641553520442355520
72400611332160115
oct261647577747750
947236467775563
1012220222132200
1139916268a4255
12145443b7bbba0
136a849241c754
1430366768990c
15162d2188ca50
hexb1d3dffcfe8

12220222132200 has 96 divisors (see below), whose sum is σ = 37884671208000. Its totient is φ = 3258555356160.

The previous prime is 12220222132189. The next prime is 12220222132229. The reversal of 12220222132200 is 223122202221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11154576 + ... + 12201024.

It is an arithmetic number, because the mean of its divisors is an integer number (394631991750).

Almost surely, 212220222132200 is an apocalyptic number.

12220222132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220222132200 is an abundant number, since it is smaller than the sum of its proper divisors (25664449075800).

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

12220222132200 is a wasteful number, since it uses less digits than its factorization.

12220222132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065931 (or 1065922 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12220222132200 its reverse (223122202221), we get a palindrome (12443344334421).

The spelling of 12220222132200 in words is "twelve trillion, two hundred twenty billion, two hundred twenty-two million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 19463 38926 58389 77852 97315 116778 155704 194630 233556 291945 389260 467112 486575 583890 778520 973150 1046449 1167780 1459725 1946300 2092898 2335560 2919450 3139347 3892600 4185796 5232245 5838900 6278694 8371592 10464490 11677800 12557388 15696735 20928980 25114776 26161225 31393470 41857960 52322450 62786940 78483675 104644900 125573880 156967350 209289800 313934700 627869400 20367036887 40734073774 61101110661 81468147548 101835184435 122202221322 162936295096 203670368870 244404442644 305505553305 407340737740 488808885288 509175922175 611011106610 814681475480 1018351844350 1222022213220 1527527766525 2036703688700 2444044426440 3055055533050 4073407377400 6110111066100 12220222132200