Search a number
-
+
12122200222000 = 2453111921526341
BaseRepresentation
bin1011000001100110101101…
…1100000010100100110000
31120220212111222100120110121
42300121223130002210300
53042102231224101000
641440510100540024
72360541264530221
oct260315334024460
946825458316417
1012122200222000
113953aa6000310
1214394443b1614
1369c17068565b
142dca0921d248
151604d6138b1a
hexb066b702930

12122200222000 has 240 divisors, whose sum is σ = 33747714677664. Its totient is φ = 4176066240000.

The previous prime is 12122200221991. The next prime is 12122200222007. The reversal of 12122200222000 is 22200222121.

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 (12122200222007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7178830 + ... + 8705170.

Almost surely, 212122200222000 is an apocalyptic number.

12122200222000 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 12122200222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873857338832).

12122200222000 is an abundant number, since it is smaller than the sum of its proper divisors (21625514455664).

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

12122200222000 is a wasteful number, since it uses less digits than its factorization.

12122200222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526413 (or 1526378 counting only the distinct ones).

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

Adding to 12122200222000 its reverse (22200222121), we get a palindrome (12144400444121).

The spelling of 12122200222000 in words is "twelve trillion, one hundred twenty-two billion, two hundred million, two hundred twenty-two thousand".