Search a number
-
+
12112221102300 = 2232521111027110951
BaseRepresentation
bin1011000001000001100010…
…1000101110000011011100
31120212220202111212202201200
42300100120220232003130
53041421312100233200
641432135541435500
72360036062441614
oct260203050560334
946786674782650
1012112221102300
11394a845057a50
12143751a40bb90
1369b2400c91b7
142dc33db73a44
15160100002800
hexb0418a2e0dc

12112221102300 has 216 divisors, whose sum is σ = 41420584662912. Its totient is φ = 2936003280000.

The previous prime is 12112221102283. The next prime is 12112221102379. The reversal of 12112221102300 is 320112221121.

12112221102300 is a `hidden beast` number, since 1 + 211 + 2 + 221 + 1 + 0 + 230 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109111825 + ... + 109222775.

It is an arithmetic number, because the mean of its divisors is an integer number (191761966032).

Almost surely, 212112221102300 is an apocalyptic number.

12112221102300 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 12112221102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20710292331456).

12112221102300 is an abundant number, since it is smaller than the sum of its proper divisors (29308363560612).

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

12112221102300 is a wasteful number, since it uses less digits than its factorization.

12112221102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122009 (or 121999 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12112221102300 its reverse (320112221121), we get a palindrome (12432333323421).

The spelling of 12112221102300 in words is "twelve trillion, one hundred twelve billion, two hundred twenty-one million, one hundred two thousand, three hundred".