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12121201300 = 22521347283701
BaseRepresentation
bin10110100100111101…
…01101101010010100
31011021202011211021111
423102132231222110
5144311011420200
65322435224404
7606242340205
oct132236555224
934252154244
1012121201300
115160113a3a
122423448104
1311b22bc480
1482db6b5ac
154ae2120ba
hex2d27ada94

12121201300 has 144 divisors (see below), whose sum is σ = 29072639232. Its totient is φ = 4358592000.

The previous prime is 12121201277. The next prime is 12121201307. The reversal of 12121201300 is 310212121.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121201307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17290950 + ... + 17291650.

It is an arithmetic number, because the mean of its divisors is an integer number (201893328).

Almost surely, 212121201300 is an apocalyptic number.

12121201300 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 12121201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14536319616).

12121201300 is an abundant number, since it is smaller than the sum of its proper divisors (16951437932).

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

12121201300 is a wasteful number, since it uses less digits than its factorization.

12121201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12121201300 its reverse (310212121), we get a palindrome (12431413421).

The spelling of 12121201300 in words is "twelve billion, one hundred twenty-one million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 47 50 52 65 94 100 130 188 235 260 283 325 470 566 611 650 701 940 1132 1175 1222 1300 1402 1415 2350 2444 2804 2830 3055 3505 3679 4700 5660 6110 7010 7075 7358 9113 12220 13301 14020 14150 14716 15275 17525 18226 18395 26602 28300 30550 32947 35050 36452 36790 45565 53204 61100 65894 66505 70100 73580 91130 91975 131788 133010 164735 172913 182260 183950 198383 227825 266020 329470 332525 345826 367900 396766 428311 455650 658940 665050 691652 793532 823675 856622 864565 911300 991915 1330100 1647350 1713244 1729130 1983830 2141555 2578979 3294700 3458260 3967660 4283110 4322825 4959575 5157958 8566220 8645650 9324001 9919150 10315916 10707775 12894895 17291300 18648002 19838300 21415550 25789790 37296004 42831100 46620005 51579580 64474475 93240010 121212013 128948950 186480020 233100025 242424026 257897900 466200050 484848052 606060065 932400100 1212120130 2424240260 3030300325 6060600650 12121201300