Search a number
-
+
2220120111000 = 2335311411640887
BaseRepresentation
bin100000010011101001011…
…110000111011110011000
321212020111222200002000210
4200103221132013132120
5242333301222023000
64415524210531120
7316253434401561
oct40235136073630
97766458602023
102220120111000
11786602a191a0
122ba335896aa0
131314830c376c
1479650ba1168
153cb3c9e6350
hex204e9787798

2220120111000 has 256 divisors, whose sum is σ = 7740790686720. Its totient is φ = 525083520000.

The previous prime is 2220120110993. The next prime is 2220120111023. The reversal of 2220120111000 is 1110210222.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532557 + ... + 2173443.

It is an arithmetic number, because the mean of its divisors is an integer number (30237463620).

Almost surely, 22220120111000 is an apocalyptic number.

2220120111000 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 2220120111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870395343360).

2220120111000 is an abundant number, since it is smaller than the sum of its proper divisors (5520670575720).

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

2220120111000 is a wasteful number, since it uses less digits than its factorization.

2220120111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640963 (or 1640949 counting only the distinct ones).

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

Adding to 2220120111000 its reverse (1110210222), we get a palindrome (2221230321222).

The spelling of 2220120111000 in words is "two trillion, two hundred twenty billion, one hundred twenty million, one hundred eleven thousand".