Search a number
-
+
12121212000 = 2535373101137
BaseRepresentation
bin10110100100111101…
…10000010001100000
31011021202012100221210
423102132300101200
5144311012241000
65322435350120
7606242413332
oct132236602140
934252170853
1012121212000
115160120a87
122423452340
1311b22c42c1
1482db71452
154ae215350
hex2d27b0460

12121212000 has 384 divisors, whose sum is σ = 40948322688. Its totient is φ = 3133440000.

The previous prime is 12121211953. The next prime is 12121212067. The reversal of 12121212000 is 21212121.

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 63 ways as a sum of consecutive naturals, for example, 88475932 + ... + 88476068.

It is an arithmetic number, because the mean of its divisors is an integer number (106636257).

Almost surely, 212121212000 is an apocalyptic number.

12121212000 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 12121212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20474161344).

12121212000 is an abundant number, since it is smaller than the sum of its proper divisors (28827110688).

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

12121212000 is a wasteful number, since it uses less digits than its factorization.

12121212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 321 counting only the distinct ones).

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

Adding to 12121212000 its reverse (21212121), we get a palindrome (12142424121).

It can be divided in two parts, 1212121 and 2000, that added together give a palindrome (1214121).

The spelling of 12121212000 in words is "twelve billion, one hundred twenty-one million, two hundred twelve thousand".