Search a number
-
+
122122201110 = 235713372634597
BaseRepresentation
bin111000110111100001…
…1001110100000010110
3102200012220110121010120
41301233003032200112
54000101240413420
6132034022332410
711552205403440
oct1615703164026
9380186417116
10122122201110
1147878887238
121b80258a106
13b692a79480
145ca7131490
15329b455d40
hex1c6f0ce816

122122201110 has 256 divisors, whose sum is σ = 371969224704. Its totient is φ = 24969295872.

The previous prime is 122122201099. The next prime is 122122201129. The reversal of 122122201110 is 11102221221.

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 122122201110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26563332 + ... + 26567928.

It is an arithmetic number, because the mean of its divisors is an integer number (1453004784).

Almost surely, 2122122201110 is an apocalyptic number.

122122201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122122201110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185984612352).

122122201110 is an abundant number, since it is smaller than the sum of its proper divisors (249847023594).

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

122122201110 is a wasteful number, since it uses less digits than its factorization.

122122201110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4927.

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

Adding to 122122201110 its reverse (11102221221), we get a palindrome (133224422331).

The spelling of 122122201110 in words is "one hundred twenty-two billion, one hundred twenty-two million, two hundred one thousand, one hundred ten".