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12220202101221 = 332771633935299
BaseRepresentation
bin1011000111010011110011…
…0011100010100111100101
31121021020110220011212022000
42301310330303202213211
53100203433214214341
641553514445155513
72400611000001552
oct261647463424745
947236426155260
1012220202101221
113991616562724
121454434b5bb99
136a848b2281ba
14303664b53a29
15162d1ec328b6
hexb1d3cce29e5

12220202101221 has 16 divisors (see below), whose sum is σ = 18169360536000. Its totient is φ = 8117390560464.

The previous prime is 12220202101193. The next prime is 12220202101231. The reversal of 12220202101221 is 12210120202221.

It is a happy number.

12220202101221 is a `hidden beast` number, since 12 + 220 + 2 + 0 + 210 + 1 + 221 = 666.

It is a de Polignac number, because none of the positive numbers 2k-12220202101221 is a prime.

It is a super-2 number, since 2×122202021012212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12220202101194 and 12220202101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220202101231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816960171 + ... + 816975128.

It is an arithmetic number, because the mean of its divisors is an integer number (1135585033500).

Almost surely, 212220202101221 is an apocalyptic number.

It is an amenable number.

12220202101221 is a deficient number, since it is larger than the sum of its proper divisors (5949158434779).

12220202101221 is a wasteful number, since it uses less digits than its factorization.

12220202101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633935585 (or 1633935579 counting only the distinct ones).

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

Adding to 12220202101221 its reverse (12210120202221), we get a palindrome (24430322303442).

The spelling of 12220202101221 in words is "twelve trillion, two hundred twenty billion, two hundred two million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 3 9 27 277 831 2493 7479 1633935299 4901805897 14705417691 44116253073 452600077823 1357800233469 4073400700407 12220202101221