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12210002111020 = 22572632917113683
BaseRepresentation
bin1011000110101101110011…
…0101101010101000101100
31121020021011001002200012011
42301223130311222220230
53100022041020023040
641545110400051004
72400100143343030
oct261533465525054
947207131080164
1012210002111020
11398826197205a
121452469003a64
136a7523c8803c
14302d782121c0
1516292451d3ea
hexb1adcd6aa2c

12210002111020 has 96 divisors (see below), whose sum is σ = 29425770114048. Its totient is φ = 4168902650112.

The previous prime is 12210002110997. The next prime is 12210002111033. The reversal of 12210002111020 is 2011120001221.

It is a super-2 number, since 2×122100021110202 (a number of 27 digits) contains 22 as substring.

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, 107347099 + ... + 107460781.

It is an arithmetic number, because the mean of its divisors is an integer number (306518438688).

Almost surely, 212210002111020 is an apocalyptic number.

12210002111020 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 12210002111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14712885057024).

12210002111020 is an abundant number, since it is smaller than the sum of its proper divisors (17215768003028).

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

12210002111020 is a wasteful number, since it uses less digits than its factorization.

12210002111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116879 (or 116877 counting only the distinct ones).

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

Adding to 12210002111020 its reverse (2011120001221), we get a palindrome (14221122112241).

The spelling of 12210002111020 in words is "twelve trillion, two hundred ten billion, two million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 263 526 1052 1315 1841 2630 2917 3682 5260 5834 7364 9205 11668 14585 18410 20419 29170 36820 40838 58340 81676 102095 113683 204190 227366 408380 454732 568415 767171 795781 1136830 1534342 1591562 2273660 3068684 3183124 3835855 3978905 5370197 7671710 7957810 10740394 15343420 15915620 21480788 26850985 29898629 53701970 59797258 107403940 119594516 149493145 209290403 298986290 331613311 418580806 597972580 663226622 837161612 1046452015 1326453244 1658066555 2092904030 2321293177 3316133110 4185808060 4642586354 6632266220 9285172708 11606465885 23212931770 46425863540 87214300793 174428601586 348857203172 436071503965 610500105551 872143007930 1221000211102 1744286015860 2442000422204 3052500527755 6105001055510 12210002111020