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120002120000 = 26547428579
BaseRepresentation
bin110111111000010101…
…1110000100101000000
3102110202011011022120222
41233300223300211000
53431231020320000
6131043405522212
711445523122110
oct1576053604500
9373664138528
10120002120000
1146990082994
121b310573368
13b41577a2c9
145b45739040
1531c5273a85
hex1bf0af0940

120002120000 has 140 divisors (see below), whose sum is σ = 340076515680. Its totient is φ = 41143488000.

The previous prime is 120002119967. The next prime is 120002120047. The reversal of 120002120000 is 21200021.

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 120002120000.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 65711 + ... + 494289.

Almost surely, 2120002120000 is an apocalyptic number.

120002120000 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 120002120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170038257840).

120002120000 is an abundant number, since it is smaller than the sum of its proper divisors (220074395680).

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

120002120000 is an frugal number, since it uses more digits than its factorization.

120002120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428618 (or 428593 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 120002120000 its reverse (21200021), we get a palindrome (120023320021).

The spelling of 120002120000 in words is "one hundred twenty billion, two million, one hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3500 4000 4375 5000 5600 7000 8000 8750 10000 11200 14000 17500 20000 28000 35000 40000 56000 70000 140000 280000 428579 857158 1714316 2142895 3000053 3428632 4285790 6000106 6857264 8571580 10714475 12000212 13714528 15000265 17143160 21428950 24000424 27429056 30000530 34286320 42857900 48000848 53572375 60001060 68572640 75001325 85715800 96001696 107144750 120002120 137145280 150002650 171431600 192003392 214289500 240004240 267861875 300005300 342863200 375006625 428579000 480008480 535723750 600010600 685726400 750013250 857158000 960016960 1071447500 1200021200 1500026500 1714316000 1875033125 2142895000 2400042400 3000053000 3428632000 3750066250 4285790000 4800084800 6000106000 7500132500 8571580000 12000212000 15000265000 17143160000 24000424000 30000530000 60001060000 120002120000