Search a number
-
+
12122110200 = 23352192937991
BaseRepresentation
bin10110100101000100…
…01011100011111000
31011021210220000001110
423102202023203320
5144311230011300
65322510520320
7606253144104
oct132242134370
934253800043
1012122110200
1151606848a2
1224238060a0
1311b254a095
1482dd26904
154ae341550
hex2d288b8f8

12122110200 has 384 divisors, whose sum is σ = 42068736000. Its totient is φ = 2874009600.

The previous prime is 12122110159. The next prime is 12122110241. The reversal of 12122110200 is 201122121.

It is an interprime number because it is at equal distance from previous prime (12122110159) and next prime (12122110241).

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 95 ways as a sum of consecutive naturals, for example, 12231705 + ... + 12232695.

It is an arithmetic number, because the mean of its divisors is an integer number (109554000).

Almost surely, 212122110200 is an apocalyptic number.

12122110200 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 12122110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21034368000).

12122110200 is an abundant number, since it is smaller than the sum of its proper divisors (29946625800).

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

12122110200 is a wasteful number, since it uses less digits than its factorization.

12122110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12122110200 its reverse (201122121), we get a palindrome (12323232321).

The spelling of 12122110200 in words is "twelve billion, one hundred twenty-two million, one hundred ten thousand, two hundred".