Search a number
-
+
12220001220000 = 253547216724889
BaseRepresentation
bin1011000111010011000011…
…0101001111010110100000
31121021012221220012001001210
42301310300311033112200
53100203030303020000
641553442511430120
72400603010354200
oct261646065172640
947235856161053
1012220001220000
113991523128692
121454399825340
136a8458722a82
143036461c2400
15162d0c2a2350
hexb1d30d4f5a0

12220001220000 has 720 divisors, whose sum is σ = 46909478911680. Its totient is φ = 2776306176000.

The previous prime is 12220001219957. The next prime is 12220001220023. The reversal of 12220001220000 is 2210002221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 490967556 + ... + 490992444.

It is an arithmetic number, because the mean of its divisors is an integer number (65152054044).

Almost surely, 212220001220000 is an apocalyptic number.

12220001220000 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 12220001220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23454739455840).

12220001220000 is an abundant number, since it is smaller than the sum of its proper divisors (34689477691680).

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

12220001220000 is a wasteful number, since it uses less digits than its factorization.

12220001220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25103 (or 25073 counting only the distinct ones).

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

Adding to 12220001220000 its reverse (2210002221), we get a palindrome (12222211222221).

The spelling of 12220001220000 in words is "twelve trillion, two hundred twenty billion, one million, two hundred twenty thousand".