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2012220110120 = 235116185987277
BaseRepresentation
bin11101010010000001101…
…010100011010100101000
321010100220002010202122012
4131102001222203110220
5230432011322010440
64140222352215052
7265243455504203
oct35220152432450
97110802122565
102012220110120
11706417880450
12285b9453a488
131179a01a476c
146d56b80693a
1537520c2ae65
hex1d481aa3528

2012220110120 has 128 divisors (see below), whose sum is σ = 5025955996800. Its totient is φ = 718874956800.

The previous prime is 2012220110107. The next prime is 2012220110143. The reversal of 2012220110120 is 210110222102.

It is a junction number, because it is equal to n+sod(n) for n = 2012220110095 and 2012220110104.

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 31 ways as a sum of consecutive naturals, for example, 23011922 + ... + 23099198.

It is an arithmetic number, because the mean of its divisors is an integer number (39265281225).

Almost surely, 22012220110120 is an apocalyptic number.

2012220110120 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 2012220110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2512977998400).

2012220110120 is an abundant number, since it is smaller than the sum of its proper divisors (3013735886680).

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

2012220110120 is a wasteful number, since it uses less digits than its factorization.

2012220110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88219 (or 88215 counting only the distinct ones).

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

Adding to 2012220110120 its reverse (210110222102), we get a palindrome (2222330332222).

The spelling of 2012220110120 in words is "two trillion, twelve billion, two hundred twenty million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 110 122 220 244 305 440 488 610 671 859 1220 1342 1718 2440 2684 3355 3436 4295 5368 6710 6872 8590 9449 13420 17180 18898 26840 34360 37796 47245 52399 75592 87277 94490 104798 174554 188980 209596 261995 349108 377960 419192 436385 523990 576389 698216 872770 960047 1047980 1152778 1745540 1920094 2095960 2305556 2881945 3491080 3840188 4611112 4800235 5323897 5763890 7680376 9600470 10647794 11527780 19200940 21295588 23055560 26619485 38401880 42591176 53238970 58562867 74970943 106477940 117125734 149941886 212955880 234251468 292814335 299883772 374854715 468502936 585628670 599767544 749709430 824680373 1171257340 1499418860 1649360746 2342514680 2998837720 3298721492 4123401865 4573227523 6597442984 8246803730 9146455046 16493607460 18292910092 22866137615 32987214920 36585820184 45732275230 50305502753 91464550460 100611005506 182929100920 201222011012 251527513765 402444022024 503055027530 1006110055060 2012220110120