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12121202100 = 22352713614241
BaseRepresentation
bin10110100100111101…
…01101110110110100
31011021202011212101010
423102132231312310
5144311011431400
65322435232220
7606242342430
oct132236556664
934252155333
1012121202100
1151601145a7
122423448670
1311b22bc947
1482db6b9c0
154ae212450
hex2d27addb4

12121202100 has 144 divisors (see below), whose sum is σ = 40119682176. Its totient is φ = 2767872000.

The previous prime is 12121202087. The next prime is 12121202161. The reversal of 12121202100 is 120212121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2855980 + ... + 2860220.

It is an arithmetic number, because the mean of its divisors is an integer number (278608904).

Almost surely, 212121202100 is an apocalyptic number.

12121202100 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 12121202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20059841088).

12121202100 is an abundant number, since it is smaller than the sum of its proper divisors (27998480076).

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

12121202100 is a wasteful number, since it uses less digits than its factorization.

12121202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5626 (or 5619 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12121202100 its reverse (120212121), we get a palindrome (12241414221).

The spelling of 12121202100 in words is "twelve billion, one hundred twenty-one million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 1361 2100 2722 4083 4241 5444 6805 8166 8482 9527 12723 13610 16332 16964 19054 20415 21205 25446 27220 28581 29687 34025 38108 40830 42410 47635 50892 57162 59374 63615 68050 81660 84820 89061 95270 102075 106025 114324 118748 127230 136100 142905 148435 178122 190540 204150 212050 238175 254460 285810 296870 318075 356244 408300 424100 445305 476350 571620 593740 636150 714525 742175 890610 952700 1272300 1429050 1484350 1781220 2226525 2858100 2968700 4453050 5772001 8906100 11544002 17316003 23088004 28860005 34632006 40404007 57720010 69264012 80808014 86580015 115440020 121212021 144300025 161616028 173160030 202020035 242424042 288600050 346320060 404040070 432900075 484848084 577200100 606060105 808080140 865800150 1010100175 1212120210 1731600300 2020200350 2424240420 3030300525 4040400700 6060601050 12121202100