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12221021110212 = 22321016615084897
BaseRepresentation
bin1011000111010110110110…
…0111110011111111000100
31121021022120222021211102100
42301311231213303333010
53100212122401011322
641554132023312100
72400640203316065
oct261655547637704
947238528254370
1012221021110212
1139919a68a7262
1214546232ab630
136a858bb053c5
1430370182a56c
15162d6bab1dac
hexb1d6d9f3fc4

12221021110212 has 72 divisors (see below), whose sum is σ = 31245091382232. Its totient is φ = 4027237632000.

The previous prime is 12221021110153. The next prime is 12221021110213. The reversal of 12221021110212 is 21201112012221.

12221021110212 is a `hidden beast` number, since 1 + 22 + 210 + 211 + 10 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10297013538816 + 1924007571396 = 3208896^2 + 1387086^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12221021110213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139053 + ... + 4945844.

It is an arithmetic number, because the mean of its divisors is an integer number (433959602531).

Almost surely, 212221021110212 is an apocalyptic number.

12221021110212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12221021110212 is an abundant number, since it is smaller than the sum of its proper divisors (19024070272020).

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

12221021110212 is a wasteful number, since it uses less digits than its factorization.

12221021110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085669 (or 5085664 counting only the distinct ones).

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

Adding to 12221021110212 its reverse (21201112012221), we get a palindrome (33422133122433).

The spelling of 12221021110212 in words is "twelve trillion, two hundred twenty-one billion, twenty-one million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 661 909 1212 1322 1818 1983 2644 3636 3966 5949 7932 11898 23796 66761 133522 200283 267044 400566 600849 801132 1201698 2403396 5084897 10169794 15254691 20339588 30509382 45764073 61018764 91528146 183056292 513574597 1027149194 1540723791 2054298388 3081447582 3361116917 4622171373 6162895164 6722233834 9244342746 10083350751 13444467668 18488685492 20166701502 30250052253 40333403004 60500104506 121000209012 339472808617 678945617234 1018418425851 1357891234468 2036836851702 3055255277553 4073673703404 6110510555106 12221021110212