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12210100011020 = 2251931507762273
BaseRepresentation
bin1011000110101110001010…
…1011001000000000001100
31121020021101212022111202002
42301223202223020000030
53100022241100323040
641545124214251432
72400102442440542
oct261534253100014
947207355274662
1012210100011020
11398830215984a
121452495956b78
136a753b344a32
14302d87217d92
1516292ce0aa15
hexb1ae2ac800c

12210100011020 has 48 divisors (see below), whose sum is σ = 25659953873568. Its totient is φ = 4880470855680.

The previous prime is 12210100011007. The next prime is 12210100011041. The reversal of 12210100011020 is 2011000101221.

It is a super-2 number, since 2×122101000110202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12210100010992 and 12210100011010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196042604 + ... + 196104876.

It is an arithmetic number, because the mean of its divisors is an integer number (534582372366).

Almost surely, 212210100011020 is an apocalyptic number.

12210100011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210100011020 is an abundant number, since it is smaller than the sum of its proper divisors (13449853862548).

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

12210100011020 is a wasteful number, since it uses less digits than its factorization.

12210100011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69290 (or 69288 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12210100011020 its reverse (2011000101221), we get a palindrome (14221100112241).

The spelling of 12210100011020 in words is "twelve trillion, two hundred ten billion, one hundred million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 1931 3862 5077 7724 9655 10154 19310 20308 25385 38620 50770 62273 101540 124546 249092 311365 622730 1245460 9803687 19607374 39214748 49018435 98036870 120249163 196073740 240498326 316160021 480996652 601245815 632320042 1202491630 1264640084 1580800105 2404983260 3161600210 6323200420 610505000551 1221010001102 2442020002204 3052525002755 6105050005510 12210100011020