Search a number
-
+
121302103200 = 25352370913627
BaseRepresentation
bin111000011111000101…
…0110011010010100000
3102121002202022022021220
41300332022303102200
53441411314300300
6131420405015040
711522656602435
oct1607612632240
9377082268256
10121302103200
1147497969573
121b6139b4480
13b591baa735
145c2a253b8c
15324e45dda0
hex1c3e2b34a0

121302103200 has 144 divisors (see below), whose sum is σ = 394973782560. Its totient is φ = 32336133120.

The previous prime is 121302103193. The next prime is 121302103207. The reversal of 121302103200 is 2301203121.

It is an interprime number because it is at equal distance from previous prime (121302103193) and next prime (121302103207).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121302103200.

It is not an unprimeable number, because it can be changed into a prime (121302103207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8894787 + ... + 8908413.

It is an arithmetic number, because the mean of its divisors is an integer number (2742873490).

Almost surely, 2121302103200 is an apocalyptic number.

121302103200 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 121302103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197486891280).

121302103200 is an abundant number, since it is smaller than the sum of its proper divisors (273671679360).

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

121302103200 is a wasteful number, since it uses less digits than its factorization.

121302103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17359 (or 17346 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 121302103200 its reverse (2301203121), we get a palindrome (123603306321).

The spelling of 121302103200 in words is "one hundred twenty-one billion, three hundred two million, one hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 3709 7418 11127 13627 14836 18545 22254 27254 29672 37090 40881 44508 54508 55635 59344 68135 74180 81762 89016 92725 109016 111270 118688 136270 148360 163524 178032 185450 204405 218032 222540 272540 278175 296720 327048 340675 356064 370900 408810 436064 445080 545080 556350 593440 654096 681350 741800 817620 890160 1022025 1090160 1112700 1308192 1362700 1483600 1635240 1780320 2044050 2180320 2225400 2725400 2967200 3270480 4088100 4450800 5450800 6540960 8176200 8901600 10901600 16352400 32704800 50542543 101085086 151627629 202170172 252712715 303255258 404340344 505425430 606510516 758138145 808680688 1010850860 1213021032 1263563575 1516276290 1617361376 2021701720 2426042064 2527127150 3032552580 3790690725 4043403440 4852084128 5054254300 6065105160 7581381450 8086806880 10108508600 12130210320 15162762900 20217017200 24260420640 30325525800 40434034400 60651051600 121302103200