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2012221021120 = 265311631244447
BaseRepresentation
bin11101010010000001101…
…110000001101111000000
321010100220010212001021221
4131102001232001233000
5230432012040133440
64140222423524424
7265243466320162
oct35220156015700
97110803761257
102012221021120
11706418342942
12285b948b9714
131179a043330b
146d56b9a2932
1537520d5ad4a
hex1d481b81bc0

2012221021120 has 112 divisors (see below), whose sum is σ = 4976517685248. Its totient is φ = 774144967680.

The previous prime is 2012221021103. The next prime is 2012221021141. The reversal of 2012221021120 is 211201222102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2012221021094 and 2012221021103.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 994737 + ... + 2239183.

Almost surely, 22012221021120 is an apocalyptic number.

2012221021120 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 2012221021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488258842624).

2012221021120 is an abundant number, since it is smaller than the sum of its proper divisors (2964296664128).

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

2012221021120 is a wasteful number, since it uses less digits than its factorization.

2012221021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244658 (or 1244648 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2012221021120 its reverse (211201222102), we get a palindrome (2223422243222).

The spelling of 2012221021120 in words is "two trillion, twelve billion, two hundred twenty-one million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 163 248 310 320 326 496 620 652 815 992 1240 1304 1630 1984 2480 2608 3260 4960 5053 5216 6520 9920 10106 10432 13040 20212 25265 26080 40424 50530 52160 80848 101060 161696 202120 323392 404240 808480 1244447 1616960 2488894 4977788 6222235 9955576 12444470 19911152 24888940 38577857 39822304 49777880 77155714 79644608 99555760 154311428 192889285 199111520 202844861 308622856 385778570 398223040 405689722 617245712 771557140 811379444 1014224305 1234491424 1543114280 1622758888 2028448610 2468982848 3086228560 3245517776 4056897220 6172457120 6288190691 6491035552 8113794440 12344914240 12576381382 12982071104 16227588880 25152762764 31440953455 32455177760 50305525528 62881906910 64910355520 100611051056 125763813820 201222102112 251527627640 402444204224 503055255280 1006110510560 2012221021120