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222212321121 = 3723185956767
BaseRepresentation
bin1100111011110011100…
…0101110111101100001
3210020120100200111210110
43032330320232331201
512120042323233441
6250025525121533
722024425364500
oct3167470567541
9706510614713
10222212321121
118627007588a
12370965592a9
1317c5415065b
14aa80130837
155ba8542b16
hex33bce2ef61

222212321121 has 48 divisors (see below), whose sum is σ = 356194222080. Its totient is φ = 122737174560.

The previous prime is 222212321113. The next prime is 222212321159. The reversal of 222212321121 is 121123212222.

It is not a de Polignac number, because 222212321121 - 23 = 222212321113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (222212321521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3886080 + ... + 3942846.

It is an arithmetic number, because the mean of its divisors is an integer number (7420712960).

Almost surely, 2222212321121 is an apocalyptic number.

222212321121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

222212321121 is a deficient number, since it is larger than the sum of its proper divisors (133981900959).

222212321121 is a wasteful number, since it uses less digits than its factorization.

222212321121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57674 (or 57667 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

Adding to 222212321121 its reverse (121123212222), we get a palindrome (343335533343).

The spelling of 222212321121 in words is "two hundred twenty-two billion, two hundred twelve million, three hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 21 31 49 93 147 217 651 859 1519 2577 4557 6013 18039 26629 42091 56767 79887 126273 170301 186403 397369 559209 1192107 1304821 1759777 2781583 3914463 5279331 8344749 12318439 36955317 48762853 86229073 146288559 258687219 341339971 1024019913 1511648443 2389379797 4534945329 7168139391 10581539101 31744617303 74070773707 222212321121