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1220002112120 = 2351119199733333
BaseRepresentation
bin10001110000001101110…
…010101110001001111000
311022122001001012200111212
4101300031302232021320
5124442031020041440
62332243343142252
7154066534564511
oct21601562561170
94278031180455
101220002112120
11430444428a70
121785402a4988
138b079551acc
1443096bdda08
1521b05c22465
hex11c0dcae278

1220002112120 has 128 divisors (see below), whose sum is σ = 3168002880000. Its totient is φ = 418175239680.

The previous prime is 1220002112059. The next prime is 1220002112129. The reversal of 1220002112120 is 212112000221.

It is a super-2 number, since 2×12200021121202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1220002112095 and 1220002112104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220002112129) 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, 1296974 + ... + 2030306.

It is an arithmetic number, because the mean of its divisors is an integer number (24750022500).

Almost surely, 21220002112120 is an apocalyptic number.

1220002112120 is a gapful number since it is divisible by the number (10) 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 1220002112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584001440000).

1220002112120 is an abundant number, since it is smaller than the sum of its proper divisors (1948000767880).

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

1220002112120 is a wasteful number, since it uses less digits than its factorization.

1220002112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733573 (or 733569 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1220002112120 its reverse (212112000221), we get a palindrome (1432114112341).

The spelling of 1220002112120 in words is "one trillion, two hundred twenty billion, two million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 199 209 220 380 398 418 440 760 796 836 995 1045 1592 1672 1990 2090 2189 3781 3980 4180 4378 7562 7960 8360 8756 10945 15124 17512 18905 21890 30248 37810 41591 43780 75620 83182 87560 151240 166364 207955 332728 415910 733333 831820 1466666 1663640 2933332 3666665 5866664 7333330 8066663 13933327 14666660 16133326 27866654 29333320 32266652 40333315 55733308 64533304 69666635 80666630 111466616 139333270 145933267 153266597 161333260 278666540 291866534 306533194 322666520 557333080 583733068 613066388 729666335 766332985 1167466136 1226132776 1459332670 1532665970 1605265937 2772732073 2918665340 3065331940 3210531874 5545464146 5837330680 6130663880 6421063748 8026329685 11090928292 12842127496 13863660365 16052659370 22181856584 27727320730 30500052803 32105318740 55454641460 61000105606 64210637480 110909282920 122000211212 152500264015 244000422424 305000528030 610001056060 1220002112120