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120000232120 = 23561793731669
BaseRepresentation
bin110111111000010010…
…0100011101010111000
3102110202000121101220111
41233300210203222320
53431230024411440
6131043301234104
711445501100066
oct1576044435270
9373660541814
10120000232120
114698a00355a
121b30ba02934
13b415268c12
145b453a7036
1531c4eee4ea
hex1bf0923ab8

120000232120 has 128 divisors (see below), whose sum is σ = 278812512000. Its totient is φ = 46462740480.

The previous prime is 120000232103. The next prime is 120000232127. The reversal of 120000232120 is 21232000021.

It is a self number, because there is not a number n which added to its sum of digits gives 120000232120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120000232127) 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 31 ways as a sum of consecutive naturals, for example, 71898646 + ... + 71900314.

It is an arithmetic number, because the mean of its divisors is an integer number (2178222750).

Almost surely, 2120000232120 is an apocalyptic number.

120000232120 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 120000232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139406256000).

120000232120 is an abundant number, since it is smaller than the sum of its proper divisors (158812279880).

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

120000232120 is a wasteful number, since it uses less digits than its factorization.

120000232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 120000232120 its reverse (21232000021), we get a palindrome (141232232141).

The spelling of 120000232120 in words is "one hundred twenty billion, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 79 122 158 244 305 316 373 395 488 610 632 746 790 1220 1492 1580 1669 1865 2440 2984 3160 3338 3730 4819 6676 7460 8345 9638 13352 14920 16690 19276 22753 24095 29467 33380 38552 45506 48190 58934 66760 91012 96380 101809 113765 117868 131851 147335 182024 192760 203618 227530 235736 263702 294670 407236 455060 509045 527404 589340 622537 659255 814472 910120 1018090 1054808 1178680 1245074 1318510 1797487 2036180 2490148 2637020 3112685 3594974 4072360 4980296 5274040 6225370 7189948 8042911 8987435 12450740 14379896 16085822 17974870 24901480 32171644 35949740 37974757 40214555 49180423 64343288 71899480 75949514 80429110 98360846 151899028 160858220 189873785 196721692 245902115 303798056 321716440 379747570 393443384 491804230 759495140 983608460 1518990280 1967216920 3000005803 6000011606 12000023212 15000029015 24000046424 30000058030 60000116060 120000232120