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12122023100 = 22521141268781
BaseRepresentation
bin10110100101000011…
…10110010010111100
31011021210201120120112
423102201312102330
5144311214214400
65322505005152
7606252332135
oct132241662274
934253646515
1012122023100
115160625410
1224237837b8
1311b2519545
1482dd02c8c
154ae325835
hex2d28764bc

12122023100 has 72 divisors (see below), whose sum is σ = 29396149776. Its totient is φ = 4300480000.

The previous prime is 12122023097. The next prime is 12122023117. The reversal of 12122023100 is 132022121.

It is a happy number.

12122023100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121220231002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 89291 + ... + 179490.

It is an arithmetic number, because the mean of its divisors is an integer number (408279858).

Almost surely, 212122023100 is an apocalyptic number.

12122023100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122023100 is an abundant number, since it is smaller than the sum of its proper divisors (17274126676).

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

12122023100 is a wasteful number, since it uses less digits than its factorization.

12122023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268847 (or 268840 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12122023100 its reverse (132022121), we get a palindrome (12254045221).

The spelling of 12122023100 in words is "twelve billion, one hundred twenty-two million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 550 820 902 1025 1100 1804 2050 2255 4100 4510 9020 11275 22550 45100 268781 537562 1075124 1343905 2687810 2956591 5375620 5913182 6719525 11020021 11826364 13439050 14782955 22040042 26878100 29565910 44080084 55100105 59131820 73914775 110200210 121220231 147829550 220400420 242440462 275500525 295659100 484880924 551001050 606101155 1102002100 1212202310 2424404620 3030505775 6061011550 12122023100