Search a number
-
+
12211001020200 = 233523710129318587
BaseRepresentation
bin1011000110110001100001…
…1000001100111100101000
31121020100201122201111222110
42301230120120030330220
53100031112230121300
641545353442122320
72400133663051503
oct261543030147450
947210648644873
1012211001020200
113988724810334
1214526a76503a0
136a7652c02868
14303030b5813a
15162982086550
hexb1b1860cf28

12211001020200 has 384 divisors, whose sum is σ = 39398229601920. Its totient is φ = 3126016512000.

The previous prime is 12211001020171. The next prime is 12211001020223. The reversal of 12211001020200 is 202010011221.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 656955307 + ... + 656973893.

It is an arithmetic number, because the mean of its divisors is an integer number (102599556255).

Almost surely, 212211001020200 is an apocalyptic number.

12211001020200 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 12211001020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19699114800960).

12211001020200 is an abundant number, since it is smaller than the sum of its proper divisors (27187228581720).

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

12211001020200 is a wasteful number, since it uses less digits than its factorization.

12211001020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19037 (or 19028 counting only the distinct ones).

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

Adding to 12211001020200 its reverse (202010011221), we get a palindrome (12413011031421).

The spelling of 12211001020200 in words is "twelve trillion, two hundred eleven billion, one million, twenty thousand, two hundred".