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221212000020 = 223511479369929
BaseRepresentation
bin1100111000000101000…
…0110011111100010100
3210010222122101221012210
43032001100303330110
512111020233000040
6245342352513420
721660560655444
oct3160120637424
9703878357183
10221212000020
11858a7452830
1236a5754b870
1317b24b3028b
14a9c733c124
155b4a7eb480
hex3381433f14

221212000020 has 96 divisors (see below), whose sum is σ = 675852750720. Its totient is φ = 53615196160.

The previous prime is 221212000007. The next prime is 221212000027. The reversal of 221212000020 is 20000212122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221212000027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3128416 + ... + 3198344.

It is an arithmetic number, because the mean of its divisors is an integer number (7040132820).

Almost surely, 2221212000020 is an apocalyptic number.

221212000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221212000020 is an abundant number, since it is smaller than the sum of its proper divisors (454640750700).

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

221212000020 is a wasteful number, since it uses less digits than its factorization.

221212000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74745 (or 74743 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 221212000020 its reverse (20000212122), we get a palindrome (241212212142).

The spelling of 221212000020 in words is "two hundred twenty-one billion, two hundred twelve million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 4793 9586 14379 19172 23965 28758 47930 52723 57516 69929 71895 95860 105446 139858 143790 158169 209787 210892 263615 279716 287580 316338 349645 419574 527230 632676 699290 769219 790845 839148 1048935 1054460 1398580 1538438 1581690 2097870 2307657 3076876 3163380 3846095 4195740 4615314 7692190 9230628 11538285 15384380 23076570 46153140 335169697 670339394 1005509091 1340678788 1675848485 2011018182 3351696970 3686866667 4022036364 5027545455 6703393940 7373733334 10055090910 11060600001 14747466668 18434333335 20110181820 22121200002 36868666670 44242400004 55303000005 73737333340 110606000010 221212000020