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12220012010020 = 2255313018861117
BaseRepresentation
bin1011000111010011000101…
…1110011001101000100100
31121021012222122111020012011
42301310301132121220210
53100203041033310040
641553443535004004
72400603201154033
oct261646136315044
947235878436164
1012220012010020
113991529228361
1214543a1369604
136a845aa300b9
143036477d071a
15162d0d1d43ea
hexb1d31799a24

12220012010020 has 48 divisors (see below), whose sum is σ = 26166314342448. Its totient is φ = 4792091532800.

The previous prime is 12220012009987. The next prime is 12220012010053. The reversal of 12220012010020 is 2001021002221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12220012009987) and next prime (12220012010053).

It can be written as a sum of positive squares in 8 ways, for example, as 1934085429796 + 10285926580224 = 1390714^2 + 3207168^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3051499 + ... + 5809618.

It is an arithmetic number, because the mean of its divisors is an integer number (545131548801).

Almost surely, 212220012010020 is an apocalyptic number.

12220012010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220012010020 is an abundant number, since it is smaller than the sum of its proper divisors (13946302332428).

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

12220012010020 is a wasteful number, since it uses less digits than its factorization.

12220012010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8862480 (or 8862478 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12220012010020 its reverse (2001021002221), we get a palindrome (14221033012241).

The spelling of 12220012010020 in words is "twelve trillion, two hundred twenty billion, twelve million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 1301 2602 5204 6505 13010 26020 68953 137906 275812 344765 689530 1379060 8861117 17722234 35444468 44305585 88611170 177222340 469639201 939278402 1878556804 2348196005 4696392010 9392784020 11528313217 23056626434 46113252868 57641566085 115283132170 230566264340 611000600501 1222001201002 2444002402004 3055003002505 6110006005010 12220012010020