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12220221232000 = 27537110757237
BaseRepresentation
bin1011000111010011110111…
…1100100001001110000000
31121021020112020011210210101
42301310331330201032000
53100204003113411000
641553520411212144
72400611321420455
oct261647574411600
947236466153711
1012220221232000
113991626339991
12145443b447054
136a8492195aa2
143036674d382c
15162d21760e6a
hexb1d3df21380

12220221232000 has 128 divisors (see below), whose sum is σ = 30810450790080. Its totient is φ = 4819241728000.

The previous prime is 12220221231989. The next prime is 12220221232001. The reversal of 12220221232000 is 23212202221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220221232001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4242619 + ... + 6514618.

Almost surely, 212220221232000 is an apocalyptic number.

12220221232000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220221232000 is an abundant number, since it is smaller than the sum of its proper divisors (18590229558080).

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

12220221232000 is an equidigital number, since it uses as much as digits as its factorization.

12220221232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10757337 (or 10757315 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 12220221232000 its reverse (23212202221), we get a palindrome (12243433434221).

The spelling of 12220221232000 in words is "twelve trillion, two hundred twenty billion, two hundred twenty-one million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 71 80 100 125 128 142 160 200 250 284 320 355 400 500 568 640 710 800 1000 1136 1420 1600 1775 2000 2272 2840 3200 3550 4000 4544 5680 7100 8000 8875 9088 11360 14200 16000 17750 22720 28400 35500 45440 56800 71000 113600 142000 227200 284000 568000 1136000 10757237 21514474 43028948 53786185 86057896 107572370 172115792 215144740 268930925 344231584 430289480 537861850 688463168 763763827 860578960 1075723700 1344654625 1376926336 1527527654 1721157920 2151447400 2689309250 3055055308 3442315840 3818819135 4302894800 5378618500 6110110616 6884631680 7637638270 8605789600 10757237000 12220221232 15275276540 17211579200 19094095675 21514474000 24440442464 30550553080 34423158400 38188191350 43028948000 48880884928 61101106160 76376382700 86057896000 95470478375 97761769856 122202212320 152752765400 172115792000 190940956750 244404424640 305505530800 381881913500 488808849280 611011061600 763763827000 1222022123200 1527527654000 2444044246400 3055055308000 6110110616000 12220221232000