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122012102102220 = 223251161622273789
BaseRepresentation
bin11011101111100000101000…
…000000010000110011001100
3121000000020120011212101011200
4123233200220000100303030
5111443021241114232340
61111255330315545500
734462040426645121
oct3357405000206314
9530006504771150
10122012102102220
1135971050873570
121182691a15b290
1353108cc024175
14221b5bad18748
15e18c34d21330
hex6ef828010ccc

122012102102220 has 72 divisors (see below), whose sum is σ = 403749137872080. Its totient is φ = 29578691418240.

The previous prime is 122012102102171. The next prime is 122012102102257. The reversal of 122012102102220 is 22201201210221.

It is a happy number.

122012102102220 is a `hidden beast` number, since 1 + 2 + 20 + 1 + 210 + 210 + 2 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 122012102102193 and 122012102102202.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 30811134915 + ... + 30811138874.

It is an arithmetic number, because the mean of its divisors is an integer number (5607626914890).

Almost surely, 2122012102102220 is an apocalyptic number.

122012102102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122012102102220 is an abundant number, since it is smaller than the sum of its proper divisors (281737035769860).

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

122012102102220 is a wasteful number, since it uses less digits than its factorization.

122012102102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61622273815 (or 61622273810 counting only the distinct ones).

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

Adding to 122012102102220 its reverse (22201201210221), we get a palindrome (144213303312441).

The spelling of 122012102102220 in words is "one hundred twenty-two trillion, twelve billion, one hundred two million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 61622273789 123244547578 184866821367 246489095156 308111368945 369733642734 554600464101 616222737890 677845011679 739467285468 924334106835 1109200928202 1232445475780 1355690023358 1848668213670 2033535035037 2218401856404 2711380046716 2773002320505 3389225058395 3697336427340 4067070070074 5546004641010 6100605105111 6778450116790 8134140140148 10167675175185 11092009282020 12201210210222 13556900233580 20335350350370 24402420420444 30503025525555 40670700700740 61006051051110 122012102102220