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20121002022220 = 22511592396486001
BaseRepresentation
bin1001001001100110010010…
…01011011001010101001100
32122020112211020010010020021
410210303021023121111030
510114130303004202340
6110443243303231524
74144460121156601
oct444631113312514
978215736103207
1020121002022220
1164582a60a72a0
12230b702a485a4
13b2c52cc65858
144d7c0c6ba6a8
1524d5d7cbbe4a
hex124cc92d954c

20121002022220 has 96 divisors (see below), whose sum is σ = 47072808115200. Its totient is φ = 7162619520000.

The previous prime is 20121002022169. The next prime is 20121002022221. The reversal of 20121002022220 is 2222020012102.

It is a junction number, because it is equal to n+sod(n) for n = 20121002022194 and 20121002022203.

It is not an unprimeable number, because it can be changed into a prime (20121002022221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140781 + ... + 6345220.

It is an arithmetic number, because the mean of its divisors is an integer number (490341751200).

Almost surely, 220121002022220 is an apocalyptic number.

20121002022220 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 20121002022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23536404057600).

20121002022220 is an abundant number, since it is smaller than the sum of its proper divisors (26951806092980).

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

20121002022220 is a wasteful number, since it uses less digits than its factorization.

20121002022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6486319 (or 6486317 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20121002022220 its reverse (2222020012102), we get a palindrome (22343022034322).

The spelling of 20121002022220 in words is "twenty trillion, one hundred twenty-one billion, two million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 239 295 478 590 649 956 1180 1195 1298 2390 2596 2629 3245 4780 5258 6490 10516 12980 13145 14101 26290 28202 52580 56404 70505 141010 155111 282020 310222 620444 775555 1551110 3102220 6486001 12972002 25944004 32430005 64860010 71346011 129720020 142692022 285384044 356730055 382674059 713460110 765348118 1426920220 1530696236 1550154239 1913370295 3100308478 3826740590 4209414649 6200616956 7653481180 7750771195 8418829298 15501542390 16837658596 17051696629 21047073245 31003084780 34103393258 42094146490 68206786516 84188292980 85258483145 91459100101 170516966290 182918200202 341033932580 365836400404 457295500505 914591001010 1006050101111 1829182002020 2012100202222 4024200404444 5030250505555 10060501011110 20121002022220