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122012230340 = 22571121321723109
BaseRepresentation
bin111000110100001111…
…1101110001011000100
3102122221020112111121002
41301220133232023010
53444340112332330
6132015053312432
711546401563110
oct1615037561304
9378836474532
10122012230340
11478217a5600
121b791795718
13b676054500
145c966a6740
153291981e45
hex1c687ee2c4

122012230340 has 864 divisors, whose sum is σ = 388613998080. Its totient is φ = 31313018880.

The previous prime is 122012230303. The next prime is 122012230343. The reversal of 122012230340 is 43032210221.

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

It is not an unprimeable number, because it can be changed into a prime (122012230343) 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 287 ways as a sum of consecutive naturals, for example, 1119378206 + ... + 1119378314.

It is an arithmetic number, because the mean of its divisors is an integer number (449784720).

Almost surely, 2122012230340 is an apocalyptic number.

122012230340 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 122012230340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194306999040).

122012230340 is an abundant number, since it is smaller than the sum of its proper divisors (266601767740).

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

122012230340 is a wasteful number, since it uses less digits than its factorization.

122012230340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 187 counting only the distinct ones).

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

Adding to 122012230340 its reverse (43032210221), we get a palindrome (165044440561).

The spelling of 122012230340 in words is "one hundred twenty-two billion, twelve million, two hundred thirty thousand, three hundred forty".