Search a number
-
+
2220112021120 = 27577321132173
BaseRepresentation
bin100000010011101000111…
…111010000011010000000
321212020111102110001210121
4200103220333100122000
5242333242134133440
64415523321310024
7316253305546120
oct40235077203200
97766442401717
102220112021120
117865a93a3144
122ba333035314
13131481520456
147964da96c80
153cb3be4934a
hex204e8fd0680

2220112021120 has 256 divisors, whose sum is σ = 6178087514880. Its totient is φ = 747172823040.

The previous prime is 2220112021111. The next prime is 2220112021123. The reversal of 2220112021120 is 211202110222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2220112021094 and 2220112021103.

It is not an unprimeable number, because it can be changed into a prime (2220112021123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68989354 + ... + 69021526.

It is an arithmetic number, because the mean of its divisors is an integer number (24133154355).

Almost surely, 22220112021120 is an apocalyptic number.

2220112021120 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 2220112021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089043757440).

2220112021120 is an abundant number, since it is smaller than the sum of its proper divisors (3957975493760).

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

2220112021120 is a wasteful number, since it uses less digits than its factorization.

2220112021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32483 (or 32471 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2220112021120 its reverse (211202110222), we get a palindrome (2431314131342).

The spelling of 2220112021120 in words is "two trillion, two hundred twenty billion, one hundred twelve million, twenty-one thousand, one hundred twenty".