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13222003001220 = 223351353131271277
BaseRepresentation
bin1100000001100111110011…
…0010101100011110000100
31201211000022010022111011000
43000121330302230132010
53213112130232014340
644042034311213300
72533154363104116
oct300317462543604
951730263274130
1013222003001220
114238468aa7422
12159661a077230
1374baa263a630
14339d3c4293b6
1517de0462dd30
hexc067ccac784

13222003001220 has 384 divisors, whose sum is σ = 45479908615680. Its totient is φ = 3168850913280.

The previous prime is 13222003001213. The next prime is 13222003001267. The reversal of 13222003001220 is 2210030022231.

13222003001220 is a `hidden beast` number, since 1 + 322 + 20 + 0 + 300 + 1 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13222003001193 and 13222003001202.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48604222 + ... + 48875498.

It is an arithmetic number, because the mean of its divisors is an integer number (118437262020).

Almost surely, 213222003001220 is an apocalyptic number.

13222003001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13222003001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22739954307840).

13222003001220 is an abundant number, since it is smaller than the sum of its proper divisors (32257905614460).

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

13222003001220 is a wasteful number, since it uses less digits than its factorization.

13222003001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271492 (or 271484 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13222003001220 its reverse (2210030022231), we get a palindrome (15432033023451).

The spelling of 13222003001220 in words is "thirteen trillion, two hundred twenty-two billion, three million, one thousand, two hundred twenty".