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22012212001220 = 2257533719797689
BaseRepresentation
bin1010000000101000111100…
…00100111011100111000100
32212221100100220100021222022
411000110132010323213010
510341122002233014340
6114452134240422312
74431221063564030
oct500243604734704
985840326307868
1022012212001220
1170173658aa111
122576145317998
13c389868a961c
1456157a9531c0
152828c500e3b5
hex14051e13b9c4

22012212001220 has 96 divisors (see below), whose sum is σ = 53840628979200. Its totient is φ = 7402646744064.

The previous prime is 22012212001217. The next prime is 22012212001223. The reversal of 22012212001220 is 2210021221022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22012212001217) and next prime (22012212001223).

It is not an unprimeable number, because it can be changed into a prime (22012212001223) 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 31 ways as a sum of consecutive naturals, for example, 27196136 + ... + 27993824.

It is an arithmetic number, because the mean of its divisors is an integer number (560839885200).

Almost surely, 222012212001220 is an apocalyptic number.

22012212001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22012212001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26920314489600).

22012212001220 is an abundant number, since it is smaller than the sum of its proper divisors (31828416977980).

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

22012212001220 is a wasteful number, since it uses less digits than its factorization.

22012212001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801477 (or 801475 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22012212001220 its reverse (2210021221022), we get a palindrome (24222233222242).

The spelling of 22012212001220 in words is "twenty-two trillion, twelve billion, two hundred twelve million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1855 3710 3719 7420 7438 14876 18595 26033 37190 52066 74380 104132 130165 197107 260330 394214 520660 788428 797689 985535 1379749 1595378 1971070 2759498 3190756 3942140 3988445 5518996 5583823 6898745 7976890 11167646 13797490 15953780 22335292 27594980 27919115 42277517 55838230 84555034 111676460 169110068 211387585 295942619 422775170 591885238 845550340 1183770476 1479713095 2959426190 2966605391 5918852380 5933210782 11866421564 14833026955 20766237737 29666053910 41532475474 59332107820 83064950948 103831188685 157230085723 207662377370 314460171446 415324754740 628920342892 786150428615 1100610600061 1572300857230 2201221200122 3144601714460 4402442400244 5503053000305 11006106000610 22012212001220