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120220000000 = 28576011
BaseRepresentation
bin110111111110110101…
…0111001111100000000
3102111022100010202202121
41233331222321330000
53432202310000000
6131121151454024
711454110065552
oct1577552717400
9374270122677
10120220000000
1146a92068401
121b371527314
13b44b954a99
145b666534d2
1531d9460b1a
hex1bfdab9f00

120220000000 has 144 divisors (see below), whose sum is σ = 300012122592. Its totient is φ = 48080000000.

The previous prime is 120219999943. The next prime is 120220000001. The reversal of 120220000000 is 22021.

It is a happy number.

120220000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120220000001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19996995 + ... + 20003005.

It is an arithmetic number, because the mean of its divisors is an integer number (2083417518).

Almost surely, 2120220000000 is an apocalyptic number.

120220000000 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 120220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150006061296).

120220000000 is an abundant number, since it is smaller than the sum of its proper divisors (179792122592).

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

120220000000 is an frugal number, since it uses more digits than its factorization.

120220000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6062 (or 6018 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 120220000000 its reverse (22021), we get a palindrome (120220022021).

The spelling of 120220000000 in words is "one hundred twenty billion, two hundred twenty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6011 6250 6400 8000 10000 12022 12500 15625 16000 20000 24044 25000 30055 31250 32000 40000 48088 50000 60110 62500 78125 80000 96176 100000 120220 125000 150275 156250 160000 192352 200000 240440 250000 300550 312500 384704 400000 480880 500000 601100 625000 751375 769408 800000 961760 1000000 1202200 1250000 1502750 1538816 1923520 2000000 2404400 2500000 3005500 3756875 3847040 4000000 4808800 5000000 6011000 7513750 7694080 9617600 10000000 12022000 15027500 18784375 19235200 20000000 24044000 30055000 37568750 38470400 48088000 60110000 75137500 93921875 96176000 120220000 150275000 187843750 192352000 240440000 300550000 375687500 469609375 480880000 601100000 751375000 939218750 961760000 1202200000 1502750000 1878437500 2404400000 3005500000 3756875000 4808800000 6011000000 7513750000 12022000000 15027500000 24044000000 30055000000 60110000000 120220000000