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122340130220 = 2257112910312657
BaseRepresentation
bin111000111110000001…
…0100011110110101100
3102200210002112112200002
41301330002203312230
54001023033131340
6132111405323432
711560462643330
oct1617402436654
9380702475602
10122340130220
114797a8a5640
121b863566578
13b6c8c703c9
145cc805d7c0
1532b0652715
hex1c7c0a3dac

122340130220 has 192 divisors, whose sum is σ = 331800053760. Its totient is φ = 36767539200.

The previous prime is 122340130217. The next prime is 122340130223. The reversal of 122340130220 is 22031043221.

It is an interprime number because it is at equal distance from previous prime (122340130217) and next prime (122340130223).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122340130192 and 122340130201.

It is not an unprimeable number, because it can be changed into a prime (122340130223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46043132 + ... + 46045788.

It is an arithmetic number, because the mean of its divisors is an integer number (1728125280).

Almost surely, 2122340130220 is an apocalyptic number.

122340130220 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 122340130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165900026880).

122340130220 is an abundant number, since it is smaller than the sum of its proper divisors (209459923540).

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

122340130220 is a wasteful number, since it uses less digits than its factorization.

122340130220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 122340130220 its reverse (22031043221), we get a palindrome (144371173441).

The spelling of 122340130220 in words is "one hundred twenty-two billion, three hundred forty million, one hundred thirty thousand, two hundred twenty".