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12020021222000 = 245311631865871
BaseRepresentation
bin1010111011101010000100…
…0110000101101001110000
31120120002202221112120011012
42232322201012011221300
53033414000413101000
641321531014210052
72350263221415101
oct256724106055160
946502687476135
1012020021222000
113914731689270
121421688953928
136926385b7bcc
142d7ab4a2a3a8
1515ca0597e735
hexaeea1185a70

12020021222000 has 160 divisors (see below), whose sum is σ = 31756915427328. Its totient is φ = 4363984800000.

The previous prime is 12020021221991. The next prime is 12020021222003. The reversal of 12020021222000 is 22212002021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020021222003) 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, 13449065 + ... + 14314935.

Almost surely, 212020021222000 is an apocalyptic number.

12020021222000 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 12020021222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15878457713664).

12020021222000 is an abundant number, since it is smaller than the sum of its proper divisors (19736894205328).

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

12020021222000 is a wasteful number, since it uses less digits than its factorization.

12020021222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866536 (or 866520 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12020021222000 its reverse (22212002021), we get a palindrome (12042233224021).

The spelling of 12020021222000 in words is "twelve trillion, twenty billion, twenty-one million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 631 880 1000 1100 1262 1375 2000 2200 2524 2750 3155 4400 5048 5500 6310 6941 10096 11000 12620 13882 15775 22000 25240 27764 31550 34705 50480 55528 63100 69410 78875 111056 126200 138820 157750 173525 252400 277640 315500 347050 555280 631000 694100 865871 867625 1262000 1388200 1731742 1735250 2776400 3463484 3470500 4329355 6926968 6941000 8658710 9524581 13853936 13882000 17317420 19049162 21646775 34634840 38098324 43293550 47622905 69269680 76196648 86587100 95245810 108233875 152393296 173174200 190491620 216467750 238114525 346348400 380983240 432935500 476229050 546364601 761966480 865871000 952458100 1092729202 1190572625 1731742000 1904916200 2185458404 2381145250 2731823005 3809832400 4370916808 4762290500 5463646010 6010010611 8741833616 9524581000 10927292020 12020021222 13659115025 19049162000 21854584040 24040042444 27318230050 30050053055 43709168080 48080084888 54636460100 60100106110 68295575125 96160169776 109272920200 120200212220 136591150250 150250265275 218545840400 240400424440 273182300500 300500530550 480800848880 546364601000 601001061100 751251326375 1092729202000 1202002122200 1502502652750 2404004244400 3005005305500 6010010611000 12020021222000