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20000222120000 = 26544073122761
BaseRepresentation
bin1001000110000101010100…
…01000101000100001000000
32121211000001212102101000102
410203002222020220201000
510110140423330320000
6110311550350541532
74132653102015023
oct443025210504100
977730055371012
1020000222120000
116411056a89091
1222b0215b078a8
13b210223143a5
144d203195b1ba
1524a3b960e3d5
hex1230aa228840

20000222120000 has 140 divisors (see below), whose sum is σ = 49606631168556. Its totient is φ = 7998059520000.

The previous prime is 20000222119991. The next prime is 20000222120017. The reversal of 20000222120000 is 2122200002.

It can be written as a sum of positive squares in 10 ways, for example, as 19685833144384 + 314388975616 = 4436872^2 + 560704^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 162858620 + ... + 162981380.

Almost surely, 220000222120000 is an apocalyptic number.

20000222120000 is a gapful number since it is divisible by the number (20) 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 20000222120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24803315584278).

20000222120000 is an abundant number, since it is smaller than the sum of its proper divisors (29606409048556).

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

20000222120000 is an equidigital number, since it uses as much as digits as its factorization.

20000222120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126866 (or 126841 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 20000222120000 its reverse (2122200002), we get a palindrome (20002344320002).

The spelling of 20000222120000 in words is "twenty trillion, two hundred twenty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 4073 5000 8000 8146 10000 16292 20000 20365 32584 40000 40730 65168 81460 101825 122761 130336 162920 203650 245522 260672 325840 407300 491044 509125 613805 651680 814600 982088 1018250 1227610 1303360 1629200 1964176 2036500 2455220 2545625 3069025 3258400 3928352 4073000 4910440 5091250 6138050 6516800 7856704 8146000 9820880 10182500 12276100 15345125 16292000 19641760 20365000 24552200 30690250 32584000 39283520 40730000 49104400 61380500 76725625 81460000 98208800 122761000 153451250 162920000 196417600 245522000 306902500 491044000 500005553 613805000 982088000 1000011106 1227610000 2000022212 2455220000 2500027765 4000044424 4910440000 5000055530 8000088848 10000111060 12500138825 16000177696 20000222120 25000277650 32000355392 40000444240 50000555300 62500694125 80000888480 100001110600 125001388250 160001776960 200002221200 250002776500 312503470625 400004442400 500005553000 625006941250 800008884800 1000011106000 1250013882500 2000022212000 2500027765000 4000044424000 5000055530000 10000111060000 20000222120000