Search a number
-
+
2012001220200 = 233524794175821
BaseRepresentation
bin11101010001110100100…
…111100011011001101000
321010100022211021000010010
4131101310213203121220
5230431034303021300
64140144532451520
7265235160123156
oct35216447433150
97110284230103
102012001220200
11706315266194
12285b33179ba0
13117966a353ba
146d54a7083d6
153750b8dea50
hex1d4749e3668

2012001220200 has 192 divisors, whose sum is σ = 6376763646720. Its totient is φ = 524553088000.

The previous prime is 2012001220181. The next prime is 2012001220241. The reversal of 2012001220200 is 20221002102.

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 47 ways as a sum of consecutive naturals, for example, 26498290 + ... + 26574110.

It is an arithmetic number, because the mean of its divisors is an integer number (33212310660).

Almost surely, 22012001220200 is an apocalyptic number.

2012001220200 is a gapful number since it is divisible by the number (20) 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 2012001220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188381823360).

2012001220200 is an abundant number, since it is smaller than the sum of its proper divisors (4364762426520).

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

2012001220200 is a wasteful number, since it uses less digits than its factorization.

2012001220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76828 (or 76819 counting only the distinct ones).

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

Adding to 2012001220200 its reverse (20221002102), we get a palindrome (2032222222302).

The spelling of 2012001220200 in words is "two trillion, twelve billion, one million, two hundred twenty thousand, two hundred".