Search a number
-
+
12122021120 = 28511860939
BaseRepresentation
bin10110100101000011…
…10101110100000000
31011021210201110212012
423102201311310000
5144311214133440
65322504552052
7606252323306
oct132241656400
934253643765
1012122021120
115160623980
122423782628
1311b2518681
1482dd02276
154ae324e65
hex2d2875d00

12122021120 has 72 divisors (see below), whose sum is σ = 31675704480. Its totient is φ = 4408002560.

The previous prime is 12122021117. The next prime is 12122021129. The reversal of 12122021120 is 2112022121.

It is a junction number, because it is equal to n+sod(n) for n = 12122021095 and 12122021104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122021129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416390 + ... + 444549.

It is an arithmetic number, because the mean of its divisors is an integer number (439940340).

Almost surely, 212122021120 is an apocalyptic number.

12122021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122021120 is an abundant number, since it is smaller than the sum of its proper divisors (19553683360).

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

12122021120 is an equidigital number, since it uses as much as digits as its factorization.

12122021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860971 (or 860957 counting only the distinct ones).

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

Adding to 12122021120 its reverse (2112022121), we get a palindrome (14234043241).

The spelling of 12122021120 in words is "twelve billion, one hundred twenty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 7040 14080 860939 1721878 3443756 4304695 6887512 8609390 9470329 13775024 17218780 18940658 27550048 34437560 37881316 47351645 55100096 68875120 75762632 94703290 110200192 137750240 151525264 189406580 220400384 275500480 303050528 378813160 551000960 606101056 757626320 1102001920 1212202112 1515252640 2424404224 3030505280 6061010560 12122021120