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12220221211000 = 2353111481750121
BaseRepresentation
bin1011000111010011110111…
…1100011100000101111000
31121021020112020010201222121
42301310331330130011320
53100204003112223000
641553520410531024
72400611321302315
oct261647574340570
947236466121877
1012220221211000
113991626325130
12145443b436a74
136a849218936a
143036674c9d0c
15162d21759b1a
hexb1d3df1c178

12220221211000 has 128 divisors (see below), whose sum is σ = 31215996976320. Its totient is φ = 4440710400000.

The previous prime is 12220221210881. The next prime is 12220221211057. The reversal of 12220221211000 is 11212202221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15915940 + ... + 16666060.

Almost surely, 212220221211000 is an apocalyptic number.

12220221211000 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 12220221211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15607998488160).

12220221211000 is an abundant number, since it is smaller than the sum of its proper divisors (18995775765320).

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

12220221211000 is a wasteful number, since it uses less digits than its factorization.

12220221211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751634 (or 751620 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12220221211000 its reverse (11212202221), we get a palindrome (12231433413221).

The spelling of 12220221211000 in words is "twelve trillion, two hundred twenty billion, two hundred twenty-one million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 1481 2200 2750 2962 5500 5924 7405 11000 11848 14810 16291 29620 32582 37025 59240 65164 74050 81455 130328 148100 162910 185125 296200 325820 370250 407275 651640 740500 750121 814550 1481000 1500242 1629100 2036375 3000484 3258200 3750605 4072750 6000968 7501210 8145500 8251331 15002420 16291000 16502662 18753025 30004840 33005324 37506050 41256655 66010648 75012100 82513310 93765125 150024200 165026620 187530250 206283275 330053240 375060500 412566550 750121000 825133100 1031416375 1110929201 1650266200 2062832750 2221858402 4125665500 4443716804 5554646005 8251331000 8887433608 11109292010 12220221211 22218584020 24440442422 27773230025 44437168040 48880884844 55546460050 61101106055 97761769688 111092920100 122202212110 138866150125 222185840200 244404424220 277732300250 305505530275 488808848440 555464600500 611011060550 1110929201000 1222022121100 1527527651375 2444044242200 3055055302750 6110110605500 12220221211000