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12102221002300 = 22521113846309161
BaseRepresentation
bin1011000000011100010010…
…0101010111011000111100
31120211221221120221001102121
42300013010211113120330
53041240322034033200
641423403352532324
72356233214132252
oct260070445273074
946757846831377
1012102221002300
1139465832848a0
1214355a93b10a4
1369a3083a5370
142dba719c65d2
1515ec17124e1a
hexb01c495763c

12102221002300 has 72 divisors (see below), whose sum is σ = 30853046809872. Its totient is φ = 4062283968000.

The previous prime is 12102221002283. The next prime is 12102221002301. The reversal of 12102221002300 is 320012220121.

It is a happy number.

It is a super-2 number, since 2×121022210023002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102221002301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423140281 + ... + 423168880.

It is an arithmetic number, because the mean of its divisors is an integer number (428514539026).

Almost surely, 212102221002300 is an apocalyptic number.

12102221002300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102221002300 is an abundant number, since it is smaller than the sum of its proper divisors (18750825807572).

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

12102221002300 is a wasteful number, since it uses less digits than its factorization.

12102221002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846309199 (or 846309192 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12102221002300 its reverse (320012220121), we get a palindrome (12422233222421).

The spelling of 12102221002300 in words is "twelve trillion, one hundred two billion, two hundred twenty-one million, two thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1300 1430 2860 3575 7150 14300 846309161 1692618322 3385236644 4231545805 8463091610 9309400771 11002019093 16926183220 18618801542 21157729025 22004038186 37237603084 42315458050 44008076372 46547003855 55010095465 84630916100 93094007710 110020190930 121022210023 186188015420 220040381860 232735019275 242044420046 275050477325 465470038550 484088840092 550100954650 605111050115 930940077100 1100201909300 1210222100230 2420444200460 3025555250575 6051110501150 12102221002300