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120204331128 = 2334726500073
BaseRepresentation
bin110111111110010111…
…1001000100001111000
3102111021020122201010000
41233330233020201320
53432134302044003
6131115431553000
711453526645660
oct1577457104170
9374236581100
10120204331128
1146a84236122
121b36822b760
13b448629b6b
145b645351a0
1531d7db81a3
hex1bfcbc8878

120204331128 has 80 divisors (see below), whose sum is σ = 384781074480. Its totient is φ = 34344093312.

The previous prime is 120204331127. The next prime is 120204331133. The reversal of 120204331128 is 821133402021.

120204331128 is a `hidden beast` number, since 1 + 2 + 0 + 204 + 331 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120204331127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13245501 + ... + 13254572.

It is an arithmetic number, because the mean of its divisors is an integer number (4809763431).

Almost surely, 2120204331128 is an apocalyptic number.

120204331128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

120204331128 is an abundant number, since it is smaller than the sum of its proper divisors (264576743352).

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

120204331128 is a wasteful number, since it uses less digits than its factorization.

120204331128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26500098 (or 26500085 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 120204331128 its reverse (821133402021), we get a palindrome (941337733149).

The spelling of 120204331128 in words is "one hundred twenty billion, two hundred four million, three hundred thirty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 26500073 53000146 79500219 106000292 159000438 185500511 212000584 238500657 318000876 371001022 477001314 556501533 636001752 715501971 742002044 954002628 1113003066 1431003942 1484004088 1669504599 1908005256 2146505913 2226006132 2862007884 3339009198 4293011826 4452012264 5008513797 5724015768 6678018396 8586023652 10017027594 13356036792 15025541391 17172047304 20034055188 30051082782 40068110376 60102165564 120204331128