Search a number
-
+
122001121100220 = 22351071131571071151
BaseRepresentation
bin11011101111010110011001…
…011111000100000110111100
3120222222012012220011200021220
4123233112121133010012330
5111442331244000201340
61111250312530553340
734461201340656045
oct3357263137040674
9528865186150256
10122001121100220
11359674263311aa
1211824774738850
13530c86c01bb4b
14221ac587918cc
15e187e0c85ed0
hex6ef5997c41bc

122001121100220 has 192 divisors, whose sum is σ = 350062893766656. Its totient is φ = 31740865228800.

The previous prime is 122001121100191. The next prime is 122001121100231. The reversal of 122001121100220 is 22001121100221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122001121100220.

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, 113361645 + ... + 114432795.

It is an arithmetic number, because the mean of its divisors is an integer number (1823244238368).

Almost surely, 2122001121100220 is an apocalyptic number.

122001121100220 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 122001121100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175031446883328).

122001121100220 is an abundant number, since it is smaller than the sum of its proper divisors (228061772666436).

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

122001121100220 is a wasteful number, since it uses less digits than its factorization.

122001121100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071540 (or 1071538 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122001121100220 its reverse (22001121100221), we get a palindrome (144002242200441).

Subtracting from 122001121100220 its reverse (22001121100221), we obtain a palindrome (99999999999999).

The spelling of 122001121100220 in words is "one hundred twenty-two trillion, one billion, one hundred twenty-one million, one hundred thousand, two hundred twenty".