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12122222020 = 22531432232039
BaseRepresentation
bin10110100101000101…
…00110110111000100
31011021211002200102221
423102202212313010
5144311242101040
65322513142124
7606254121106
oct132242466704
934254080387
1012122222020
115160750907
12242385a944
1311b2588c4c
1482dd55576
154ae36474a
hex2d28a6dc4

12122222020 has 96 divisors (see below), whose sum is σ = 27022786560. Its totient is φ = 4560554880.

The previous prime is 12122221981. The next prime is 12122222027. The reversal of 12122222020 is 2022222121.

It is a junction number, because it is equal to n+sod(n) for n = 12122221985 and 12122222003.

It is not an unprimeable number, because it can be changed into a prime (12122222027) 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, 5944161 + ... + 5946199.

It is an arithmetic number, because the mean of its divisors is an integer number (281487360).

Almost surely, 212122222020 is an apocalyptic number.

12122222020 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 12122222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13511393280).

12122222020 is an abundant number, since it is smaller than the sum of its proper divisors (14900564540).

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

12122222020 is a wasteful number, since it uses less digits than its factorization.

12122222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2343 counting only the distinct ones).

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

Adding to 12122222020 its reverse (2022222121), we get a palindrome (14144444141).

The spelling of 12122222020 in words is "twelve billion, one hundred twenty-two million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 31 43 62 86 124 155 172 215 223 310 430 446 620 860 892 1115 1333 2039 2230 2666 4078 4460 5332 6665 6913 8156 9589 10195 13330 13826 19178 20390 26660 27652 34565 38356 40780 47945 63209 69130 87677 95890 126418 138260 175354 191780 252836 297259 316045 350708 438385 454697 594518 632090 876770 909394 1189036 1264180 1486295 1753540 1818788 2273485 2717987 2972590 4546970 5435974 5945180 9093940 10871948 13589935 14095607 19551971 27179870 28191214 39103942 54359740 56382428 70478035 78207884 97759855 140956070 195519710 281912140 391039420 606111101 1212222202 2424444404 3030555505 6061111010 12122222020