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122004330120 = 23325338900917
BaseRepresentation
bin111000110100000000…
…1100101011010001000
3102122220200200010112100
41301220001211122020
53444331102030440
6132014212113400
711546244460311
oct1615001453210
9378820603470
10122004330120
1147818299aa2
121b78b005860
13b67451961a
145c9560b608
153290e21230
hex1c68065688

122004330120 has 48 divisors (see below), whose sum is σ = 396514074060. Its totient is φ = 32534487936.

The previous prime is 122004330113. The next prime is 122004330157. The reversal of 122004330120 is 21033400221.

122004330120 is a `hidden beast` number, since 1 + 220 + 0 + 433 + 0 + 12 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107963502084 + 14040828036 = 328578^2 + 118494^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122004330093 and 122004330102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169450099 + ... + 169450818.

Almost surely, 2122004330120 is an apocalyptic number.

122004330120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122004330120 is an abundant number, since it is smaller than the sum of its proper divisors (274509743940).

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

122004330120 is a wasteful number, since it uses less digits than its factorization.

122004330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338900934 (or 338900927 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122004330120 its reverse (21033400221), we get a palindrome (143037730341).

The spelling of 122004330120 in words is "one hundred twenty-two billion, four million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 338900917 677801834 1016702751 1355603668 1694504585 2033405502 2711207336 3050108253 3389009170 4066811004 5083513755 6100216506 6778018340 8133622008 10167027510 12200433012 13556036680 15250541265 20334055020 24400866024 30501082530 40668110040 61002165060 122004330120