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120022100000 = 255511109111
BaseRepresentation
bin110111111000111011…
…1111110100000100000
3102110210112202101222222
41233301313332200200
53431301124200000
6131045402050212
711446155005615
oct1576167764040
9373715671888
10120022100000
11469a038a190
121b3171a9968
13b4199545aa
145b4825a50c
1531c6dbda85
hex1bf1dfe820

120022100000 has 144 divisors (see below), whose sum is σ = 322200752832. Its totient is φ = 43644000000.

The previous prime is 120022099999. The next prime is 120022100053. The reversal of 120022100000 is 1220021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1045445 + ... + 1154555.

It is an arithmetic number, because the mean of its divisors is an integer number (2237505228).

Almost surely, 2120022100000 is an apocalyptic number.

120022100000 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 120022100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161100376416).

120022100000 is an abundant number, since it is smaller than the sum of its proper divisors (202178652832).

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

120022100000 is an equidigital number, since it uses as much as digits as its factorization.

120022100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109157 (or 109129 counting only the distinct ones).

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

Adding to 120022100000 its reverse (1220021), we get a palindrome (120023320021).

It can be divided in two parts, 120022 and 100000, that added together give a palindrome (220022).

The spelling of 120022100000 in words is "one hundred twenty billion, twenty-two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 11000 12500 13750 20000 22000 25000 27500 34375 44000 50000 55000 68750 100000 109111 110000 137500 218222 220000 275000 436444 545555 550000 872888 1091110 1100000 1200221 1745776 2182220 2400442 2727775 3491552 4364440 4800884 5455550 6001105 8728880 9601768 10911100 12002210 13638875 17457760 19203536 21822200 24004420 27277750 30005525 38407072 43644400 48008840 54555500 60011050 68194375 87288800 96017680 109111000 120022100 136388750 150027625 192035360 218222000 240044200 272777500 300055250 340971875 436444000 480088400 545555000 600110500 681943750 750138125 960176800 1091110000 1200221000 1363887500 1500276250 2182220000 2400442000 2727775000 3000552500 3750690625 4800884000 5455550000 6001105000 7501381250 10911100000 12002210000 15002762500 24004420000 30005525000 60011050000 120022100000