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120120202000000 = 275660060101
BaseRepresentation
bin11011010011111110101001…
…111110000111011010000000
3120202022101020102001022100101
4123103332221332013122000
5111221022133203000000
61103250243050532144
734205253404263636
oct3323765176073200
9522271212038311
10120120202000000
1135301767557984
1211580124737054
13520439541b767
142193bc5159356
15dd490720ce6a
hex6d3fa9f87680

120120202000000 has 112 divisors (see below), whose sum is σ = 299123632301310. Its totient is φ = 48048080000000.

The previous prime is 120120201999997. The next prime is 120120202000009. The reversal of 120120202000000 is 202021021.

It can be written as a sum of positive squares in 7 ways, for example, as 23775297984064 + 96344904015936 = 4875992^2 + 9815544^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (120120202000009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 28030051 + ... + 32030050.

Almost surely, 2120120202000000 is an apocalyptic number.

120120202000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120120202000000 is an abundant number, since it is smaller than the sum of its proper divisors (179003430301310).

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

120120202000000 is an frugal number, since it uses more digits than its factorization.

120120202000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60060145 (or 60060108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 120120202000000 its reverse (202021021), we get a palindrome (120120404021021).

The spelling of 120120202000000 in words is "one hundred twenty trillion, one hundred twenty billion, two hundred two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 1000000 2000000 60060101 120120202 240240404 300300505 480480808 600601010 960961616 1201202020 1501502525 1921923232 2402404040 3003005050 3843846464 4804808080 6006010100 7507512625 7687692928 9609616160 12012020200 15015025250 19219232320 24024040400 30030050500 37537563125 38438464640 48048080800 60060101000 75075126250 96096161600 120120202000 150150252500 187687815625 192192323200 240240404000 300300505000 375375631250 480480808000 600601010000 750751262500 938439078125 960961616000 1201202020000 1501502525000 1876878156250 2402404040000 3003005050000 3753756312500 4804808080000 6006010100000 7507512625000 12012020200000 15015025250000 24024040400000 30030050500000 60060101000000 120120202000000