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122113514220 = 223531592634231
BaseRepresentation
bin111000110111010001…
…0000101101011101100
3102200012022010020221220
41301232202011223230
54000042024423340
6132033112223340
711552041513305
oct1615642055354
9380168106856
10122113514220
1147873993695
121b7bb69ab50
13b6910274b9
145ca5d0d7ac
15329a7dbed0
hex1c6e885aec

122113514220 has 192 divisors, whose sum is σ = 360379514880. Its totient is φ = 30853958400.

The previous prime is 122113514209. The next prime is 122113514227. The reversal of 122113514220 is 22415311221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122113514227) 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, 28859505 + ... + 28863735.

It is an arithmetic number, because the mean of its divisors is an integer number (1876976640).

Almost surely, 2122113514220 is an apocalyptic number.

122113514220 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 122113514220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180189757440).

122113514220 is an abundant number, since it is smaller than the sum of its proper divisors (238266000660).

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

122113514220 is a wasteful number, since it uses less digits than its factorization.

122113514220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4596 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 122113514220 its reverse (22415311221), we get a palindrome (144528825441).

The spelling of 122113514220 in words is "one hundred twenty-two billion, one hundred thirteen million, five hundred fourteen thousand, two hundred twenty".