Search a number
-
+
201222000000000 = 210325971597
BaseRepresentation
bin101101110000001010100101…
…110101001011110000000000
3222101110122011011012222000200
4231300022211311023300000
5202333310124000000000
61551544035522245200
760245544513036330
oct5560124565136000
9871418134188020
10201222000000000
115912a853176021
121a69a2087b6800
1388381cb6c8865
1437992a7ccd0c0
15183e3a53a8500
hexb702a5d4bc00

201222000000000 has 1320 divisors, whose sum is σ = 830554172763744. Its totient is φ = 45964800000000.

The previous prime is 201221999999983. The next prime is 201222000000019. The reversal of 201222000000000 is 222102.

201222000000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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, 125999999202 + ... + 126000000798.

Almost surely, 2201222000000000 is an apocalyptic number.

201222000000000 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 201222000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415277086381872).

201222000000000 is an abundant number, since it is smaller than the sum of its proper divisors (629332172763744).

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

201222000000000 is an frugal number, since it uses more digits than its factorization.

201222000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 201222000000000 its reverse (222102), we get a palindrome (201222000222102).

The spelling of 201222000000000 in words is "two hundred one trillion, two hundred twenty-two billion", and thus it is an aban number.