Search a number
-
+
12002122200 = 23352235914741
BaseRepresentation
bin10110010110110000…
…11101100111011000
31010222110002222110110
423023120131213120
5144040020402300
65302543044320
7603265232625
oct131330354730
933873088413
1012002122200
1150a9981062
1223ab5a06a0
131193728773
1481c01134c
154a3a3e550
hex2cb61d9d8

12002122200 has 192 divisors, whose sum is σ = 39484972800. Its totient is φ = 3009318400.

The previous prime is 12002122199. The next prime is 12002122201. The reversal of 12002122200 is 222120021.

It is an interprime number because it is at equal distance from previous prime (12002122199) and next prime (12002122201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002122201) 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, 806830 + ... + 821570.

It is an arithmetic number, because the mean of its divisors is an integer number (205650900).

Almost surely, 212002122200 is an apocalyptic number.

12002122200 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 12002122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19742486400).

12002122200 is an abundant number, since it is smaller than the sum of its proper divisors (27482850600).

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

12002122200 is a wasteful number, since it uses less digits than its factorization.

12002122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14842 (or 14833 counting only the distinct ones).

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

Adding to 12002122200 its reverse (222120021), we get a palindrome (12224242221).

The spelling of 12002122200 in words is "twelve billion, two million, one hundred twenty-two thousand, two hundred".