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120002121200 = 24521340915641
BaseRepresentation
bin110111111000010101…
…1110000110111110000
3102110202011011101020102
41233300223300313300
53431231020334300
6131043405531532
711445523125443
oct1576053606760
9373664141212
10120002121200
1146990083885
121b310573ba8
13b41577aa10
145b4573965a
1531c52740d5
hex1bf0af0df0

120002121200 has 120 divisors (see below), whose sum is σ = 310613359056. Its totient is φ = 44289792000.

The previous prime is 120002121181. The next prime is 120002121203. The reversal of 120002121200 is 2121200021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120002121203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21270380 + ... + 21276020.

Almost surely, 2120002121200 is an apocalyptic number.

120002121200 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 120002121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155306679528).

120002121200 is an abundant number, since it is smaller than the sum of its proper divisors (190611237856).

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

120002121200 is a wasteful number, since it uses less digits than its factorization.

120002121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9763 (or 9752 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120002121200 its reverse (2121200021), we get a palindrome (122123321221).

It can be divided in two parts, 1200021 and 21200, that added together give a palindrome (1221221).

The spelling of 120002121200 in words is "one hundred twenty billion, two million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 4091 5200 5641 8182 11282 16364 20455 22564 28205 32728 40910 45128 53183 56410 65456 73333 81820 90256 102275 106366 112820 141025 146666 163640 204550 212732 225640 265915 282050 293332 327280 366665 409100 425464 451280 531830 564100 586664 733330 818200 850928 1063660 1128200 1173328 1329575 1466660 1636400 1833325 2127320 2256400 2659150 2933320 3666650 4254640 5318300 5866640 7333300 10636600 14666600 21273200 23077331 29333200 46154662 92309324 115386655 184618648 230773310 300005303 369237296 461546620 576933275 600010606 923093240 1153866550 1200021212 1500026515 1846186480 2307733100 2400042424 3000053030 4615466200 4800084848 6000106060 7500132575 9230932400 12000212120 15000265150 24000424240 30000530300 60001060600 120002121200