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12122200002 = 2311238099871
BaseRepresentation
bin10110100101000101…
…00001011111000010
31011021211001120020110
423102202201133002
5144311240400002
65322512452150
7606253666653
oct132242413702
934254046213
1012122200002
115160736310
12242384a056
1311b257bc13
1482dd4b52a
154ae35ce6c
hex2d28a17c2

12122200002 has 64 divisors (see below), whose sum is σ = 27635281920. Its totient is φ = 3508982400.

The previous prime is 12122199983. The next prime is 12122200009. The reversal of 12122200002 is 20000222121.

It is not an unprimeable number, because it can be changed into a prime (12122200009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1223127 + ... + 1232997.

It is an arithmetic number, because the mean of its divisors is an integer number (431801280).

Almost surely, 212122200002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13817640960).

12122200002 is an abundant number, since it is smaller than the sum of its proper divisors (15513081918).

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

12122200002 is a wasteful number, since it uses less digits than its factorization.

12122200002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10719.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12122200002 its reverse (20000222121), we get a palindrome (32122422123).

The spelling of 12122200002 in words is "twelve billion, one hundred twenty-two million, two hundred thousand, two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 809 1518 1618 2427 4854 8899 9871 17798 18607 19742 26697 29613 37214 53394 55821 59226 108581 111642 204677 217162 227033 325743 409354 454066 614031 651486 681099 1228062 1362198 2497363 4994726 7492089 7985639 14984178 15971278 23956917 47913834 87842029 175684058 183669697 263526087 367339394 527052174 551009091 1102018182 2020366667 4040733334 6061100001 12122200002