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122012200020 = 22353165597957
BaseRepresentation
bin111000110100001111…
…1100110110001010100
3102122221020110222000010
41301220133212301110
53444340110400040
6132015052520220
711546401405524
oct1615037466124
9378836428003
10122012200020
1147821784847
121b791780070
13b676043779
145c96699684
153291977e80
hex1c687e6c54

122012200020 has 48 divisors (see below), whose sum is σ = 352654622208. Its totient is φ = 31487018880.

The previous prime is 122012200019. The next prime is 122012200027. The reversal of 122012200020 is 20002210221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122012199969 and 122012200005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122012200027) 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 15 ways as a sum of consecutive naturals, for example, 32797119 + ... + 32800838.

It is an arithmetic number, because the mean of its divisors is an integer number (7346971296).

Almost surely, 2122012200020 is an apocalyptic number.

122012200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122012200020 is an abundant number, since it is smaller than the sum of its proper divisors (230642422188).

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

122012200020 is a wasteful number, since it uses less digits than its factorization.

122012200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65598000 (or 65597998 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122012200020 its reverse (20002210221), we get a palindrome (142014410241).

The spelling of 122012200020 in words is "one hundred twenty-two billion, twelve million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 65597957 131195914 196793871 262391828 327989785 393587742 655979570 787175484 983969355 1311959140 1967938710 2033536667 3935877420 4067073334 6100610001 8134146668 10167683335 12201220002 20335366670 24402440004 30503050005 40670733340 61006100010 122012200020