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220010012122120 = 235112771805136299
BaseRepresentation
bin110010000001100100010010…
…100111101001110000001000
31001211222202022000200001202221
4302001210102213221300020
5212314121001100401440
62055531112042103424
764225125125100013
oct6201442247516010
91054882260601687
10220010012122120
11641137a4214980
12208134b7aaab74
13959bb1691581c
143c4878187c37a
151a67e72dc9d4a
hexc819129e9c08

220010012122120 has 64 divisors (see below), whose sum is σ = 541974122712000. Its totient is φ = 79714818919680.

The previous prime is 220010012122093. The next prime is 220010012122183. The reversal of 220010012122120 is 21221210010022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 220010012122094 and 220010012122103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 902446270 + ... + 902690029.

It is an arithmetic number, because the mean of its divisors is an integer number (8468345667375).

Almost surely, 2220010012122120 is an apocalyptic number.

220010012122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220010012122120 is an abundant number, since it is smaller than the sum of its proper divisors (321964110589880).

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

220010012122120 is a wasteful number, since it uses less digits than its factorization.

220010012122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805136598 (or 1805136594 counting only the distinct ones).

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

Adding to 220010012122120 its reverse (21221210010022), we get a palindrome (241231222132142).

The spelling of 220010012122120 in words is "two hundred twenty trillion, ten billion, twelve million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 277 440 554 1108 1385 2216 2770 3047 5540 6094 11080 12188 15235 24376 30470 60940 121880 1805136299 3610272598 7220545196 9025681495 14441090392 18051362990 19856499289 36102725980 39712998578 72205451960 79425997156 99282496445 158851994312 198564992890 397129985780 500022754823 794259971560 1000045509646 2000091019292 2500113774115 4000182038584 5000227548230 5500250303053 10000455096460 11000500606106 20000910192920 22001001212212 27501251515265 44002002424424 55002503030530 110005006061060 220010012122120