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122313022120 = 23519967716631
BaseRepresentation
bin111000111101001101…
…1001001101010101000
3102200201012112022100101
41301322123021222220
54000444113201440
6132105000315144
711560013351062
oct1617233115250
9380635468311
10122313022120
114796656a953
121b856472ab4
13b6c346b803
145cc4604732
1532ad09a69a
hex1c7a6c9aa8

122313022120 has 64 divisors (see below), whose sum is σ = 289736092800. Its totient is φ = 46342621440.

The previous prime is 122313022103. The next prime is 122313022133. The reversal of 122313022120 is 21220313221.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7346205 + ... + 7362835.

It is an arithmetic number, because the mean of its divisors is an integer number (4527126450).

Almost surely, 2122313022120 is an apocalyptic number.

122313022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122313022120 is an abundant number, since it is smaller than the sum of its proper divisors (167423070680).

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

122313022120 is a wasteful number, since it uses less digits than its factorization.

122313022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26338 (or 26334 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 122313022120 its reverse (21220313221), we get a palindrome (143533335341).

The spelling of 122313022120 in words is "one hundred twenty-two billion, three hundred thirteen million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 9677 16631 19354 33262 38708 48385 66524 77416 83155 96770 133048 166310 183863 193540 315989 332620 367726 387080 631978 665240 735452 919315 1263956 1470904 1579945 1838630 2527912 3159890 3677260 6319780 7354520 12639560 160938187 321876374 643752748 804690935 1287505496 1609381870 3057825553 3218763740 6115651106 6437527480 12231302212 15289127765 24462604424 30578255530 61156511060 122313022120