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12120021200100 = 22352113672733697
BaseRepresentation
bin1011000001011110100110…
…0011101110110011100100
31120220122220010010210100210
42300113221203232303210
53042033300411400400
641435505540535420
72360433265252542
oct260275143566344
946818803123323
1012120021200100
113953087aa9970
121438b366b1570
1369bbb40ba698
142dc87da82d92
15160409bb2950
hexb05e98eece4

12120021200100 has 72 divisors (see below), whose sum is σ = 38255194198368. Its totient is φ = 2938186956800.

The previous prime is 12120021200099. The next prime is 12120021200107. The reversal of 12120021200100 is 100212002121.

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

It is not an unprimeable number, because it can be changed into a prime (12120021200107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1836363549 + ... + 1836370148.

It is an arithmetic number, because the mean of its divisors is an integer number (531322141644).

Almost surely, 212120021200100 is an apocalyptic number.

12120021200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120021200100 is an abundant number, since it is smaller than the sum of its proper divisors (26135172998268).

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

12120021200100 is a wasteful number, since it uses less digits than its factorization.

12120021200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672733725 (or 3672733718 counting only the distinct ones).

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

Adding to 12120021200100 its reverse (100212002121), we get a palindrome (12220233202221).

The spelling of 12120021200100 in words is "twelve trillion, one hundred twenty billion, twenty-one million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3672733697 7345467394 11018201091 14690934788 18363668485 22036402182 36727336970 40400070667 44072804364 55091005455 73454673940 80800141334 91818342425 110182010910 121200212001 161600282668 183636684850 202000353335 220364021820 242400424002 275455027275 367273369700 404000706670 484800848004 550910054550 606001060005 808001413340 1010001766675 1101820109100 1212002120010 2020003533350 2424004240020 3030005300025 4040007066700 6060010600050 12120021200100