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12202011001220 = 2254114880501221
BaseRepresentation
bin1011000110010000000010…
…0010000000000110000100
31121012111112010102020100112
42301210000202000012010
53044404204304014340
641541305414532152
72366365131130565
oct261440042000604
947174463366315
1012202011001220
113984931116a87
1214509b8967058
136a684c5385c1
1430281abc016c
15162607bcc065
hexb1900880184

12202011001220 has 24 divisors (see below), whose sum is σ = 26249204155608. Its totient is φ = 4761760390400.

The previous prime is 12202011001217. The next prime is 12202011001223. The reversal of 12202011001220 is 2210011020221.

It is an interprime number because it is at equal distance from previous prime (12202011001217) and next prime (12202011001223).

It can be written as a sum of positive squares in 4 ways, for example, as 73215701056 + 12128795300164 = 270584^2 + 3482642^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12202011001195 and 12202011001204.

It is not an unprimeable number, because it can be changed into a prime (12202011001223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7440249791 + ... + 7440251430.

It is an arithmetic number, because the mean of its divisors is an integer number (1093716839817).

Almost surely, 212202011001220 is an apocalyptic number.

12202011001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12202011001220 is an abundant number, since it is smaller than the sum of its proper divisors (14047193154388).

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

12202011001220 is a wasteful number, since it uses less digits than its factorization.

12202011001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14880501271 (or 14880501269 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12202011001220 its reverse (2210011020221), we get a palindrome (14412022021441).

The spelling of 12202011001220 in words is "twelve trillion, two hundred two billion, eleven million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 14880501221 29761002442 59522004884 74402506105 148805012210 297610024420 610100550061 1220201100122 2440402200244 3050502750305 6101005500610 12202011001220