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12100220022020 = 22513197236240141
BaseRepresentation
bin1011000000010100110101…
…0100001110110100000100
31120211202210010201201111212
42300011031110032310010
53041222222311201040
641422433032550552
72356132506105434
oct260051524166404
946752703651455
1012100220022020
113945746828789
12143512b252458
1369a079976a70
142db921d542c4
1515eb4b61bd65
hexb014d50ed04

12100220022020 has 48 divisors (see below), whose sum is σ = 27504022292208. Its totient is φ = 4445094474240.

The previous prime is 12100220021957. The next prime is 12100220022083. The reversal of 12100220022020 is 2022002200121.

It is an interprime number because it is at equal distance from previous prime (12100220021957) and next prime (12100220022083).

It can be written as a sum of positive squares in 8 ways, for example, as 177604930624 + 11922615091396 = 421432^2 + 3452914^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12100220021986 and 12100220022004.

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, 118068851 + ... + 118171290.

It is an arithmetic number, because the mean of its divisors is an integer number (573000464421).

Almost surely, 212100220022020 is an apocalyptic number.

12100220022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100220022020 is an abundant number, since it is smaller than the sum of its proper divisors (15403802270188).

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

12100220022020 is a wasteful number, since it uses less digits than its factorization.

12100220022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236240360 (or 236240358 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12100220022020 its reverse (2022002200121), we get a palindrome (14122222222141).

The spelling of 12100220022020 in words is "twelve trillion, one hundred billion, two hundred twenty million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 197 260 394 788 985 1970 2561 3940 5122 10244 12805 25610 51220 236240141 472480282 944960564 1181200705 2362401410 3071121833 4724802820 6142243666 12284487332 15355609165 30711218330 46539307777 61422436660 93078615554 186157231108 232696538885 465393077770 605011001101 930786155540 1210022002202 2420044004404 3025055005505 6050110011010 12100220022020