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122010212202012 = 223297281511241161
BaseRepresentation
bin11011101111011110110111…
…010110110111011000011100
3121000000001200110200111110200
4123233132313112313120130
5111443003403310431022
61111254415004503500
734461642541032021
oct3357366726673034
9530001613614420
10122010212202012
1135970270a96572
121182649124ab90
13531068a618714
14221b47bd1d548
15e18b73e5abac
hex6ef7b75b761c

122010212202012 has 72 divisors (see below), whose sum is σ = 311605555820832. Its totient is φ = 40249329408000.

The previous prime is 122010212201981. The next prime is 122010212202029. The reversal of 122010212202012 is 210202212010221.

It is a happy number.

122010212202012 is a `hidden beast` number, since 1 + 220 + 1 + 0 + 21 + 220 + 201 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97682712 + ... + 98923872.

It is an arithmetic number, because the mean of its divisors is an integer number (4327854941956).

Almost surely, 2122010212202012 is an apocalyptic number.

122010212202012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122010212202012 is an abundant number, since it is smaller than the sum of its proper divisors (189595343618820).

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

122010212202012 is a wasteful number, since it uses less digits than its factorization.

122010212202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269419 (or 1269414 counting only the distinct ones).

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

Adding to 122010212202012 its reverse (210202212010221), we get a palindrome (332212424212233).

The spelling of 122010212202012 in words is "one hundred twenty-two trillion, ten billion, two hundred twelve million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 28151 56302 84453 112604 168906 253359 337812 506718 1013436 1241161 2482322 2730647 3723483 4964644 5461294 7446966 8191941 10922588 11170449 14893932 16383882 22340898 24575823 32767764 44681796 49151646 98303292 120392617 240785234 361177851 481570468 722355702 1083533553 1444711404 2167067106 4334134212 34939923311 69879846622 104819769933 139759693244 209639539866 314459309799 419279079732 628918619598 1257837239196 3389172561167 6778345122334 10167517683501 13556690244668 20335035367002 30502553050503 40670070734004 61005106101006 122010212202012