Search a number
-
+
12212022200 = 2352731416863
BaseRepresentation
bin10110101111110010…
…01010101110111000
31011112002002000010112
423113321022232320
5200002234202300
65335442003452
7611424322160
oct132771125670
934462060115
1012212022200
1151a7406034
122449946588
1311c806ac51
1483bc4d5a0
154b71a1e35
hex2d7e4abb8

12212022200 has 192 divisors, whose sum is σ = 34317803520. Its totient is φ = 3952512000.

The previous prime is 12212022197. The next prime is 12212022203. The reversal of 12212022200 is 222021221.

It is an interprime number because it is at equal distance from previous prime (12212022197) and next prime (12212022203).

It is a super-3 number, since 3×122120222003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212022203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1775969 + ... + 1782831.

It is an arithmetic number, because the mean of its divisors is an integer number (178738560).

Almost surely, 212212022200 is an apocalyptic number.

12212022200 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 12212022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17158901760).

12212022200 is an abundant number, since it is smaller than the sum of its proper divisors (22105781320).

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

12212022200 is a wasteful number, since it uses less digits than its factorization.

12212022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6958 (or 6949 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12212022200 its reverse (222021221), we get a palindrome (12434043421).

The spelling of 12212022200 in words is "twelve billion, two hundred twelve million, twenty-two thousand, two hundred".