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12121122110000 = 245410112001111
BaseRepresentation
bin1011000001100010101100…
…1011010111101000110000
31120220202201211200210211112
42300120223023113220300
53042043024230010000
641440211105132452
72360502463655441
oct260305313275060
946822654623745
1012121122110000
1139535a2485862
1214391a332a128
1369c02b1c9567
142dc945d7b2c8
15160471678235
hexb062b2d7a30

12121122110000 has 100 divisors (see below), whose sum is σ = 29637010108464. Its totient is φ = 4800444000000.

The previous prime is 12121122109991. The next prime is 12121122110003. The reversal of 12121122110000 is 1122112121.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (12121122110003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4990556 + ... + 7010555.

Almost surely, 212121122110000 is an apocalyptic number.

12121122110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121122110000 is an abundant number, since it is smaller than the sum of its proper divisors (17515887998464).

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

12121122110000 is a wasteful number, since it uses less digits than its factorization.

12121122110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12001240 (or 12001219 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12121122110000 its reverse (1122112121), we get a palindrome (12122244222121).

The spelling of 12121122110000 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 625 808 1000 1010 1250 1616 2000 2020 2500 2525 4040 5000 5050 8080 10000 10100 12625 20200 25250 40400 50500 63125 101000 126250 202000 252500 505000 1010000 12001111 24002222 48004444 60005555 96008888 120011110 192017776 240022220 300027775 480044440 600055550 960088880 1200111100 1212112211 1500138875 2400222200 2424224422 3000277750 4800444400 4848448844 6000555500 6060561055 7500694375 9696897688 12001111000 12121122110 15001388750 19393795376 24002222000 24242244220 30002777500 30302805275 48484488440 60005555000 60605610550 96968976880 120011110000 121211221100 151514026375 242422442200 303028052750 484844884400 606056105500 757570131875 1212112211000 1515140263750 2424224422000 3030280527500 6060561055000 12121122110000