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12210012211000 = 2353181336120071
BaseRepresentation
bin1011000110101101110101…
…1100001100011100111000
31121020021011202002210202111
42301223131130030130320
53100022101111223000
641545111400342104
72400100325240032
oct261533534143470
947207152083674
1012210012211000
11398826764034a
121452470474934
136a75260b3266
14302d796c0c52
15162925365cba
hexb1add70c738

12210012211000 has 128 divisors (see below), whose sum is σ = 28739261416320. Its totient is φ = 4855334400000.

The previous prime is 12210012210973. The next prime is 12210012211037. The reversal of 12210012211000 is 11221001221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608330965 + ... + 608351035.

It is an arithmetic number, because the mean of its divisors is an integer number (224525479815).

Almost surely, 212210012211000 is an apocalyptic number.

12210012211000 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 12210012211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14369630708160).

12210012211000 is an abundant number, since it is smaller than the sum of its proper divisors (16529249205320).

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

12210012211000 is a wasteful number, since it uses less digits than its factorization.

12210012211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23634 (or 23620 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12210012211000 its reverse (11221001221), we get a palindrome (12221233212221).

The spelling of 12210012211000 in words is "twelve trillion, two hundred ten billion, twelve million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 181 200 250 362 500 724 905 1000 1448 1810 3361 3620 4525 6722 7240 9050 13444 16805 18100 20071 22625 26888 33610 36200 40142 45250 67220 80284 84025 90500 100355 134440 160568 168050 181000 200710 336100 401420 420125 501775 608341 672200 802840 840250 1003550 1216682 1680500 2007100 2433364 2508875 3041705 3361000 3632851 4014200 4866728 5017750 6083410 7265702 10035500 12166820 14531404 15208525 18164255 20071000 24333640 29062808 30417050 36328510 60834100 67458631 72657020 76042625 90821275 121668200 134917262 145314040 152085250 181642550 269834524 304170500 337293155 363285100 454106375 539669048 608341000 674586310 726570200 908212750 1349172620 1686465775 1816425500 2698345240 3372931550 3632851000 6745863100 8432328875 12210012211 13491726200 16864657750 24420024422 33729315500 48840048844 61050061055 67458631000 97680097688 122100122110 244200244220 305250305275 488400488440 610500610550 1221001221100 1526251526375 2442002442200 3052503052750 6105006105500 12210012211000