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12122101400 = 2352233925913
BaseRepresentation
bin10110100101000100…
…01001011010011000
31011021210212112222112
423102202021122120
5144311224221100
65322510411452
7606253106333
oct132242113230
934253775875
1012122101400
115160679222
122423800b88
1311b2546086
1482dd2361a
154ae33db35
hex2d2889698

12122101400 has 48 divisors (see below), whose sum is σ = 28197023400. Its totient is φ = 4846580480.

The previous prime is 12122101373. The next prime is 12122101417. The reversal of 12122101400 is 410122121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 454844 + ... + 480756.

Almost surely, 212122101400 is an apocalyptic number.

12122101400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122101400 is an abundant number, since it is smaller than the sum of its proper divisors (16074922000).

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

12122101400 is a wasteful number, since it uses less digits than its factorization.

12122101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28268 (or 28259 counting only the distinct ones).

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

Adding to 12122101400 its reverse (410122121), we get a palindrome (12532223521).

The spelling of 12122101400 in words is "twelve billion, one hundred twenty-two million, one hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2339 4678 9356 11695 18712 23390 25913 46780 51826 58475 93560 103652 116950 129565 207304 233900 259130 467800 518260 647825 1036520 1295650 2591300 5182600 60610507 121221014 242442028 303052535 484884056 606105070 1212210140 1515262675 2424420280 3030525350 6061050700 12122101400