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12122002200 = 23352721137483
BaseRepresentation
bin10110100101000011…
…10001001100011000
31011021210200111220110
423102201301030120
5144311213032300
65322504324320
7606252214200
oct132241611430
934253614813
1012122002200
115160610740
1224237736a0
1311b250cb89
1482dcd9400
154ae31e550
hex2d2871318

12122002200 has 288 divisors, whose sum is σ = 47688644160. Its totient is φ = 2518790400.

The previous prime is 12122002183. The next prime is 12122002213. The reversal of 12122002200 is 220022121.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 304659 + ... + 342141.

It is an arithmetic number, because the mean of its divisors is an integer number (165585570).

Almost surely, 212122002200 is an apocalyptic number.

12122002200 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 12122002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23844322080).

12122002200 is an abundant number, since it is smaller than the sum of its proper divisors (35566641960).

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

12122002200 is a wasteful number, since it uses less digits than its factorization.

12122002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37527 (or 37511 counting only the distinct ones).

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

Adding to 12122002200 its reverse (220022121), we get a palindrome (12342024321).

The spelling of 12122002200 in words is "twelve billion, one hundred twenty-two million, two thousand, two hundred".