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122102113320 = 233251140917537
BaseRepresentation
bin111000110110111011…
…0100110010000101000
3102200011111200000212100
41301231312212100220
54000031120111240
6132032024013400
711551542560445
oct1615566462050
9380144600770
10122102113320
1147868506a60
121b7b7901260
13b68b8650c5
145ca45c29cc
1532997d8e30
hex1c6dda6428

122102113320 has 192 divisors, whose sum is σ = 433070763840. Its totient is φ = 29589350400.

The previous prime is 122102113313. The next prime is 122102113349. The reversal of 122102113320 is 23311201221.

122102113320 is a `hidden beast` number, since 122 + 1 + 0 + 211 + 332 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122102113293 and 122102113302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16196592 + ... + 16204128.

It is an arithmetic number, because the mean of its divisors is an integer number (2255576895).

Almost surely, 2122102113320 is an apocalyptic number.

122102113320 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 122102113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216535381920).

122102113320 is an abundant number, since it is smaller than the sum of its proper divisors (310968650520).

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

122102113320 is a wasteful number, since it uses less digits than its factorization.

122102113320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11656 (or 11649 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122102113320 its reverse (23311201221), we get a palindrome (145413314541).

The spelling of 122102113320 in words is "one hundred twenty-two billion, one hundred two million, one hundred thirteen thousand, three hundred twenty".