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12012122200 = 23521344310429
BaseRepresentation
bin10110010111111101…
…00111000001011000
31011000010221000212211
423023332213001120
5144100100402300
65303541244504
7603446232301
oct131376470130
934003830784
1012012122200
115104591221
1223b2a03734
13119581a320
1481d4957a8
154a48674ba
hex2cbfa7058

12012122200 has 96 divisors (see below), whose sum is σ = 30147289200. Its totient is φ = 4424808960.

The previous prime is 12012122147. The next prime is 12012122201. The reversal of 12012122200 is 222121021.

It is a happy number.

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 (12012122201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1146586 + ... + 1157014.

Almost surely, 212012122200 is an apocalyptic number.

12012122200 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 12012122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15073644600).

12012122200 is an abundant number, since it is smaller than the sum of its proper divisors (18135167000).

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

12012122200 is a wasteful number, since it uses less digits than its factorization.

12012122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10901 (or 10892 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12012122200 its reverse (222121021), we get a palindrome (12234243221).

The spelling of 12012122200 in words is "twelve billion, twelve million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 443 520 650 886 1300 1772 2215 2600 3544 4430 5759 8860 10429 11075 11518 17720 20858 22150 23036 28795 41716 44300 46072 52145 57590 83432 88600 104290 115180 135577 143975 208580 230360 260725 271154 287950 417160 521450 542308 575900 677885 1042900 1084616 1151800 1355770 2085800 2711540 3389425 4620047 5423080 6778850 9240094 13557700 18480188 23100235 27115400 36960376 46200470 60060611 92400940 115501175 120121222 184801880 231002350 240242444 300303055 462004700 480484888 600606110 924009400 1201212220 1501515275 2402424440 3003030550 6006061100 12012122200