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12225443123100 = 22352199192333857
BaseRepresentation
bin1011000111100111010100…
…1100011100111110011100
31121021202000011002100201110
42301321311030130332130
53100300201414414400
642000142510342020
72401154606645664
oct261716514347634
947252004070643
1012225443123100
113993865a20a69
1214554581ba910
136a8b14ca4a8c
14303a00c351a4
15163029de7e50
hexb1e7531cf9c

12225443123100 has 144 divisors (see below), whose sum is σ = 37274512889600. Its totient is φ = 3085170923520.

The previous prime is 12225443123053. The next prime is 12225443123107. The reversal of 12225443123100 is 132134452221.

It is a happy number.

It is a super-2 number, since 2×122254431231002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12225443123107) 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, 4071372 + ... + 6405228.

Almost surely, 212225443123100 is an apocalyptic number.

12225443123100 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 12225443123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18637256444800).

12225443123100 is an abundant number, since it is smaller than the sum of its proper divisors (25049069766500).

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

12225443123100 is a wasteful number, since it uses less digits than its factorization.

12225443123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334812 (or 2334805 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 12225443123100 its reverse (132134452221), we get a palindrome (12357577575321).

The spelling of 12225443123100 in words is "twelve trillion, two hundred twenty-five billion, four hundred forty-three million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 919 950 1140 1425 1838 1900 2757 2850 3676 4595 5514 5700 9190 11028 13785 17461 18380 22975 27570 34922 45950 52383 55140 68925 69844 87305 91900 104766 137850 174610 209532 261915 275700 349220 436525 523830 873050 1047660 1309575 1746100 2333857 2619150 4667714 5238300 7001571 9335428 11669285 14003142 23338570 28006284 35007855 44343283 46677140 58346425 70015710 88686566 116692850 133029849 140031420 175039275 177373132 221716415 233385700 266059698 350078550 443432830 532119396 665149245 700157100 886865660 1108582075 1330298490 2144814583 2217164150 2660596980 3325746225 4289629166 4434328300 6434443749 6651492450 8579258332 10724072915 12868887498 13302984900 21448145830 25737774996 32172218745 40751477077 42896291660 53620364575 64344437490 81502954154 107240729150 122254431231 128688874980 160861093725 163005908308 203757385385 214481458300 244508862462 321722187450 407514770770 489017724924 611272156155 643444374900 815029541540 1018786926925 1222544312310 2037573853850 2445088624620 3056360780775 4075147707700 6112721561550 12225443123100