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1220221120221 = 331071518113449
BaseRepresentation
bin10001110000011010110…
…110001010111011011101
311022122121022022110011000
4101300122312022323131
5124443003101321341
62332321205220513
7154105134250215
oct21603266127335
94278538273130
101220221120221
11430547013aa4
121785a1701739
138b0b2a32bbc
14430b7d2d245
1521b1a0838b6
hex11c1ad8aedd

1220221120221 has 64 divisors (see below), whose sum is σ = 1839511296000. Its totient is φ = 799322256000.

The previous prime is 1220221120219. The next prime is 1220221120243. The reversal of 1220221120221 is 1220211220221.

It is a happy number.

1220221120221 is a `hidden beast` number, since 1 + 220 + 221 + 1 + 2 + 0 + 221 = 666.

It is not a de Polignac number, because 1220221120221 - 21 = 1220221120219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1220221120194 and 1220221120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220221120211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 353788105 + ... + 353791553.

It is an arithmetic number, because the mean of its divisors is an integer number (28742364000).

Almost surely, 21220221120221 is an apocalyptic number.

It is an amenable number.

1220221120221 is a deficient number, since it is larger than the sum of its proper divisors (619290175779).

1220221120221 is a wasteful number, since it uses less digits than its factorization.

1220221120221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4527 (or 4521 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1220221120221 its reverse (1220211220221), we get a palindrome (2440432340442).

The spelling of 1220221120221 in words is "one trillion, two hundred twenty billion, two hundred twenty-one million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 27 107 151 321 453 811 963 1359 2433 2889 3449 4077 7299 10347 16157 21897 31041 48471 86777 93123 122461 145413 260331 367383 369043 436239 520799 780993 1102149 1107129 1562397 2342979 2797139 3306447 3321387 4687191 8391417 9964161 13103327 14061573 25174251 39309981 55725493 75522753 117929943 167176479 299293873 353789829 422367989 501529437 897881619 1267103967 1504588311 2693644857 3801311901 8080934571 11403935703 45193374823 135580124469 406740373407 1220221120221