Search a number
-
+
122202110222000 = 2453711378397487
BaseRepresentation
bin11011110010010001100101…
…010111101101111010110000
3121000200102000011122221210022
4123302101211113231322300
5112004124410204101000
61111522512513223012
734511545132216034
oct3362214527557260
9530612004587708
10122202110222000
1135a34695466216
1211857707561a68
1353257c0239983
142226883d8c1c4
15e1db55e8d585
hex6f24655edeb0

122202110222000 has 320 divisors, whose sum is σ = 302233775800320. Its totient is φ = 47777209088000.

The previous prime is 122202110221981. The next prime is 122202110222077. The reversal of 122202110222000 is 222011202221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 122202110222000.

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, 16321902257 + ... + 16321909743.

It is an arithmetic number, because the mean of its divisors is an integer number (944480549376).

Almost surely, 2122202110222000 is an apocalyptic number.

122202110222000 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 122202110222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151116887900160).

122202110222000 is an abundant number, since it is smaller than the sum of its proper divisors (180031665578320).

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

122202110222000 is a wasteful number, since it uses less digits than its factorization.

122202110222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8557 (or 8541 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 122202110222000 its reverse (222011202221), we get a palindrome (122424121424221).

The spelling of 122202110222000 in words is "one hundred twenty-two trillion, two hundred two billion, one hundred ten million, two hundred twenty-two thousand".