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1220112112221 = 321937661291743
BaseRepresentation
bin10001110000010100010…
…110010101101001011101
311022122022201012021021200
4101300110112111221131
5124442242200042341
62332302312550113
7154102341556512
oct21602426255135
94278281167250
101220112112221
114304a052a742
121785710b2339
138b096287222
14430a7675309
1521b106eedb6
hex11c14595a5d

1220112112221 has 48 divisors (see below), whose sum is σ = 1908169136640. Its totient is φ = 748633311360.

The previous prime is 1220112112213. The next prime is 1220112112229. The reversal of 1220112112221 is 1222112110221.

1220112112221 is a `hidden beast` number, since 1 + 220 + 11 + 211 + 2 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (1220112112213) and next prime (1220112112229).

It is not a de Polignac number, because 1220112112221 - 23 = 1220112112213 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1220112112194 and 1220112112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220112112229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4036276 + ... + 4328018.

It is an arithmetic number, because the mean of its divisors is an integer number (39753523680).

Almost surely, 21220112112221 is an apocalyptic number.

It is an amenable number.

1220112112221 is a deficient number, since it is larger than the sum of its proper divisors (688057024419).

1220112112221 is a wasteful number, since it uses less digits than its factorization.

1220112112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292466 (or 292463 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1220112112221 its reverse (1222112110221), we get a palindrome (2442224222442).

The spelling of 1220112112221 in words is "one trillion, two hundred twenty billion, one hundred twelve million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 19 37 57 111 171 333 661 703 1983 2109 5949 6327 12559 24457 37677 73371 113031 220113 291743 464683 875229 1394049 2625687 4182147 5543117 10794491 16629351 32383473 49888053 97150419 192842123 205095329 578526369 615285987 1735579107 1845857961 3664000337 7135158551 10992001011 21405475653 32976003033 64216426959 135568012469 406704037407 1220112112221