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221212000120 = 2359835625941
BaseRepresentation
bin1100111000000101000…
…0110011111101111000
3210010222122101221100111
43032001100303331320
512111020233000440
6245342352514104
721660560655646
oct3160120637570
9703878357314
10221212000120
11858a7452911
1236a5754b934
1317b24b30337
14a9c733c196
155b4a7eb4ea
hex3381433f78

221212000120 has 32 divisors (see below), whose sum is σ = 498233423520. Its totient is φ = 88394769280.

The previous prime is 221212000043. The next prime is 221212000129. The reversal of 221212000120 is 21000212122.

It is a happy number.

221212000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 221212000120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221212000129) 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 7 ways as a sum of consecutive naturals, for example, 2773651 + ... + 2852290.

It is an arithmetic number, because the mean of its divisors is an integer number (15569794485).

Almost surely, 2221212000120 is an apocalyptic number.

221212000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221212000120 is an abundant number, since it is smaller than the sum of its proper divisors (277021423400).

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

221212000120 is a wasteful number, since it uses less digits than its factorization.

221212000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5626935 (or 5626931 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 221212000120 its reverse (21000212122), we get a palindrome (242212212242).

The spelling of 221212000120 in words is "two hundred twenty-one billion, two hundred twelve million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 983 1966 3932 4915 7864 9830 19660 39320 5625941 11251882 22503764 28129705 45007528 56259410 112518820 225037640 5530300003 11060600006 22121200012 27651500015 44242400024 55303000030 110606000060 221212000120