Search a number
-
+
12122222200000 = 2655115510101
BaseRepresentation
bin1011000001100110110010…
…1111111000010011000000
31120220212120111201011121121
42300121230233320103000
53042102302340400000
641440512204002024
72360541652405063
oct260315457702300
946825514634547
1012122222200000
113954007451750
12143944b830314
1369c1750ac1a3
142dca0c1008da
151604d802ab1a
hexb066cbf84c0

12122222200000 has 168 divisors, whose sum is σ = 32800226619888. Its totient is φ = 4408080000000.

The previous prime is 12122222199991. The next prime is 12122222200009. The reversal of 12122222200000 is 222222121.

It is an interprime number because it is at equal distance from previous prime (12122222199991) and next prime (12122222200009).

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

It is not an unprimeable number, because it can be changed into a prime (12122222200009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 555051 + ... + 4955050.

It is an arithmetic number, because the mean of its divisors is an integer number (195239444166).

Almost surely, 212122222200000 is an apocalyptic number.

12122222200000 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 12122222200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16400113309944).

12122222200000 is an abundant number, since it is smaller than the sum of its proper divisors (20678004419888).

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

12122222200000 is an frugal number, since it uses more digits than its factorization.

12122222200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5510149 (or 5510119 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12122222200000 its reverse (222222121), we get a palindrome (12122444422121).

The spelling of 12122222200000 in words is "twelve trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred thousand".