Search a number
-
+
12112022221200 = 2433521129268459
BaseRepresentation
bin1011000001000000110011…
…0010000011000110010000
31120212220020122122120011000
42300100030302003012100
53041420410142034300
641432104115022000
72360031126124416
oct260201462030620
946786218576130
1012112022221200
11394a752869700
12143748389a900
1369b20ab44285
142dc3215a32b6
151600dc819c00
hexb040cc83190

12112022221200 has 360 divisors, whose sum is σ = 47385187119200. Its totient is φ = 2936247494400.

The previous prime is 12112022221153. The next prime is 12112022221219. The reversal of 12112022221200 is 212222021121.

It is a happy number.

12112022221200 is a `hidden beast` number, since 1 + 211 + 20 + 222 + 212 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3327430 + ... + 5941029.

Almost surely, 212112022221200 is an apocalyptic number.

12112022221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112022221200 is an abundant number, since it is smaller than the sum of its proper divisors (35273164898000).

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

12112022221200 is a wasteful number, since it uses less digits than its factorization.

12112022221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9268508 (or 9268480 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12112022221200 its reverse (212222021121), we get a palindrome (12324244242321).

The spelling of 12112022221200 in words is "twelve trillion, one hundred twelve billion, twenty-two million, two hundred twenty-one thousand, two hundred".