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20000220122000 = 245310991744129
BaseRepresentation
bin1001000110000101010100…
…00001000000101110010000
32121211000001201122212021102
410203002222001000232100
510110140422322401000
6110311550240043532
74132653046023656
oct443025201005620
977730051585242
1020000220122000
116411055943a48
1222b02153035a8
13b21021a94b41
144d203159add6
1524a3b93673d5
hex1230aa040b90

20000220122000 has 80 divisors (see below), whose sum is σ = 48804207394800. Its totient is φ = 7926692659200.

The previous prime is 20000220121991. The next prime is 20000220122021. The reversal of 20000220122000 is 22102200002.

It can be written as a sum of positive squares in 8 ways, for example, as 378013469584 + 19622206652416 = 614828^2 + 4429696^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45654065 + ... + 46090064.

It is an arithmetic number, because the mean of its divisors is an integer number (610052592435).

Almost surely, 220000220122000 is an apocalyptic number.

20000220122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20000220122000 is an abundant number, since it is smaller than the sum of its proper divisors (28803987272800).

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

20000220122000 is a wasteful number, since it uses less digits than its factorization.

20000220122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91744261 (or 91744245 counting only the distinct ones).

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

Adding to 20000220122000 its reverse (22102200002), we get a palindrome (20022322322002).

The spelling of 20000220122000 in words is "twenty trillion, two hundred twenty million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 109 125 200 218 250 400 436 500 545 872 1000 1090 1744 2000 2180 2725 4360 5450 8720 10900 13625 21800 27250 43600 54500 109000 218000 91744129 183488258 366976516 458720645 733953032 917441290 1467906064 1834882580 2293603225 3669765160 4587206450 7339530320 9174412900 10000110061 11468016125 18348825800 20000220122 22936032250 36697651600 40000440244 45872064500 50000550305 80000880488 91744129000 100001100610 160001760976 183488258000 200002201220 250002751525 400004402440 500005503050 800008804880 1000011006100 1250013757625 2000022012200 2500027515250 4000044024400 5000055030500 10000110061000 20000220122000