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12120021020100 = 22352718131886401
BaseRepresentation
bin1011000001011110100110…
…0011000010110111000100
31120220122220002210122110010
42300113221203002313010
53042033300340120400
641435505533030220
72360433263603010
oct260275143026704
946818802718403
1012120021020100
113953087996704
121438b36625370
1369bbb4056786
142dc87da37540
15160409b79450
hexb05e98c2dc4

12120021020100 has 144 divisors (see below), whose sum is σ = 40298289938816. Its totient is φ = 2754984960000.

The previous prime is 12120021020087. The next prime is 12120021020153. The reversal of 12120021020100 is 102012002121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15563101 + ... + 16323300.

Almost surely, 212120021020100 is an apocalyptic number.

12120021020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120021020100 is an abundant number, since it is smaller than the sum of its proper divisors (28178268918716).

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

12120021020100 is a wasteful number, since it uses less digits than its factorization.

12120021020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31886606 (or 31886599 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12120021020100 its reverse (102012002121), we get a palindrome (12222033022221).

The spelling of 12120021020100 in words is "twelve trillion, one hundred twenty billion, twenty-one million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 181 210 300 350 362 420 525 543 700 724 905 1050 1086 1267 1810 2100 2172 2534 2715 3620 3801 4525 5068 5430 6335 7602 9050 10860 12670 13575 15204 18100 19005 25340 27150 31675 38010 54300 63350 76020 95025 126700 190050 380100 31886401 63772802 95659203 127545604 159432005 191318406 223204807 318864010 382636812 446409614 478296015 637728020 669614421 797160025 892819228 956592030 1116024035 1339228842 1594320050 1913184060 2232048070 2391480075 2678457684 3188640100 3348072105 4464096140 4782960150 5580120175 5771438581 6696144210 9565920300 11160240350 11542877162 13392288420 16740360525 17314315743 22320480700 23085754324 28857192905 33480721050 34628631486 40400070067 57714385810 66961442100 69257262972 80800140134 86571578715 115428771620 121200210201 144285964525 161600280268 173143157430 202000350335 242400420402 288571929050 346286314860 404000700670 432857893575 484800840804 577143858100 606001051005 808001401340 865715787150 1010001751675 1212002102010 1731431574300 2020003503350 2424004204020 3030005255025 4040007006700 6060010510050 12120021020100