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12120002200 = 2352893491951
BaseRepresentation
bin10110100100110100…
…01000111010011000
31011021122220220102101
423102122020322120
5144310210032300
65322353413144
7606226214245
oct132232107230
934248826371
1012120002200
11515a475049
122422b6a1b4
1311b1c8c747
1482d9385cc
154ae076b6a
hex2d2688e98

12120002200 has 96 divisors (see below), whose sum is σ = 28591920000. Its totient is φ = 4777344000.

The previous prime is 12120002197. The next prime is 12120002201. The reversal of 12120002200 is 220002121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120002201) 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, 6211225 + ... + 6213175.

It is an arithmetic number, because the mean of its divisors is an integer number (297832500).

Almost surely, 212120002200 is an apocalyptic number.

12120002200 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 12120002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14295960000).

12120002200 is an abundant number, since it is smaller than the sum of its proper divisors (16471917800).

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

12120002200 is a wasteful number, since it uses less digits than its factorization.

12120002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12120002200 its reverse (220002121), we get a palindrome (12340004321).

The spelling of 12120002200 in words is "twelve billion, one hundred twenty million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 349 356 445 698 712 890 1396 1745 1780 1951 2225 2792 3490 3560 3902 4450 6980 7804 8725 8900 9755 13960 15608 17450 17800 19510 31061 34900 39020 48775 62122 69800 78040 97550 124244 155305 173639 195100 248488 310610 347278 390200 621220 680899 694556 776525 868195 1242440 1361798 1389112 1553050 1736390 2723596 3106100 3404495 3472780 4340975 5447192 6212200 6808990 6945560 8681950 13617980 17022475 17363900 27235960 34044950 34727800 60600011 68089900 121200022 136179800 242400044 303000055 484800088 606000110 1212000220 1515000275 2424000440 3030000550 6060001100 12120002200