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12211121021020 = 2256182112191371
BaseRepresentation
bin1011000110110001111110…
…0001111110000001011100
31121020101001000112012011021
42301230133201332001130
53100031333440133040
641545413410133524
72400136651045225
oct261543741760134
947211030465137
1012211121021020
113988786522769
12145271b8812a4
136a7671a29c6c
14303042a7424c
1516298c88c24a
hexb1b1f87e05c

12211121021020 has 48 divisors (see below), whose sum is σ = 26095485469536. Its totient is φ = 4798523232000.

The previous prime is 12211121021017. The next prime is 12211121021023. The reversal of 12211121021020 is 2012012111221.

It is an interprime number because it is at equal distance from previous prime (12211121021017) and next prime (12211121021023).

It is a super-2 number, since 2×122111210210202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211121020985 and 12211121021003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211121021023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5094066 + ... + 7097305.

It is an arithmetic number, because the mean of its divisors is an integer number (543655947282).

Almost surely, 212211121021020 is an apocalyptic number.

12211121021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211121021020 is an abundant number, since it is smaller than the sum of its proper divisors (13884364448516).

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

12211121021020 is a wasteful number, since it uses less digits than its factorization.

12211121021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12192262 (or 12192260 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12211121021020 its reverse (2012012111221), we get a palindrome (14223133132241).

The spelling of 12211121021020 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-one million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 821 1220 1642 3284 4105 8210 16420 50081 100162 200324 250405 500810 1001620 12191371 24382742 48765484 60956855 121913710 243827420 743673631 1487347262 2974694524 3718368155 7436736310 10009115591 14873472620 20018231182 40036462364 50045577955 100091155910 200182311820 610556051051 1221112102102 2442224204204 3052780255255 6105560510510 12211121021020