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2220122120000 = 2654411353733
BaseRepresentation
bin100000010011101001100…
…101110001111101000000
321212020112010110010212012
4200103221211301331000
5242333302230320000
64415524321552052
7316253460436661
oct40235145617500
97766463403765
102220122120000
11786604070624
122ba3364a5628
13131483648015
1479651165368
153cb3cc91735
hex204e9971f40

2220122120000 has 140 divisors (see below), whose sum is σ = 5639458198836. Its totient is φ = 866388480000.

The previous prime is 2220122119981. The next prime is 2220122120033. The reversal of 2220122120000 is 212210222.

It can be written as a sum of positive squares in 10 ways, for example, as 1681565749504 + 538556370496 = 1296752^2 + 733864^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 963134 + ... + 2316866.

Almost surely, 22220122120000 is an apocalyptic number.

2220122120000 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 2220122120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819729099418).

2220122120000 is an abundant number, since it is smaller than the sum of its proper divisors (3419336078836).

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

2220122120000 is an equidigital number, since it uses as much as digits as its factorization.

2220122120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353806 (or 1353781 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2220122120000 its reverse (212210222), we get a palindrome (2220334330222).

The spelling of 2220122120000 in words is "two trillion, two hundred twenty billion, one hundred twenty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 125 160 164 200 205 250 320 328 400 410 500 625 656 800 820 1000 1025 1250 1312 1600 1640 2000 2050 2500 2624 3280 4000 4100 5000 5125 6560 8000 8200 10000 10250 13120 16400 20000 20500 25625 32800 40000 41000 51250 65600 82000 102500 164000 205000 328000 410000 820000 1353733 1640000 2707466 5414932 6768665 10829864 13537330 21659728 27074660 33843325 43319456 54149320 55503053 67686650 86638912 108298640 111006106 135373300 169216625 216597280 222012212 270746600 277515265 338433250 433194560 444024424 541493200 555030530 676866500 846083125 888048848 1082986400 1110061060 1353733000 1387576325 1692166250 1776097696 2165972800 2220122120 2707466000 2775152650 3384332500 3552195392 4440244240 5414932000 5550305300 6768665000 6937881625 8880488480 10829864000 11100610600 13537330000 13875763250 17760976960 22201221200 27074660000 27751526500 34689408125 44402442400 54149320000 55503053000 69378816250 88804884800 111006106000 138757632500 222012212000 277515265000 444024424000 555030530000 1110061060000 2220122120000