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22001021122000 = 245343255825827
BaseRepresentation
bin1010000000010100000110…
…00011000111010111010000
32212220021110222201201200011
411000022003003013113100
510340431042401401000
6114443043553204304
74430343545642014
oct500120303072720
985807428651604
1022001021122000
1170126429489a8
122573b41560694
13c378c226c2bb
14560bd8596544
1528246c8182ba
hex1402830c75d0

22001021122000 has 80 divisors (see below), whose sum is σ = 54435642985152. Its totient is φ = 8595747753600.

The previous prime is 22001021121979. The next prime is 22001021122007. The reversal of 22001021122000 is 22112010022.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001021122007) 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, 127826914 + ... + 127998913.

Almost surely, 222001021122000 is an apocalyptic number.

22001021122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22001021122000 is an abundant number, since it is smaller than the sum of its proper divisors (32434621863152).

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

22001021122000 is a wasteful number, since it uses less digits than its factorization.

22001021122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255825893 (or 255825877 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22001021122000 its reverse (22112010022), we get a palindrome (22023133132022).

The spelling of 22001021122000 in words is "twenty-two trillion, one billion, twenty-one million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 688 860 1000 1075 1720 2000 2150 3440 4300 5375 8600 10750 17200 21500 43000 86000 255825827 511651654 1023303308 1279129135 2046606616 2558258270 4093213232 5116516540 6395645675 10233033080 11000510561 12791291350 20466066160 22001021122 25582582700 31978228375 44002042244 51165165400 55002552805 63956456750 88004084488 102330330800 110005105610 127912913500 176008168976 220010211220 255825827000 275012764025 440020422440 511651654000 550025528050 880040844880 1100051056100 1375063820125 2200102112200 2750127640250 4400204224400 5500255280500 11000510561000 22001021122000