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12122122304000 = 2953189408161
BaseRepresentation
bin1011000001100110011011…
…0010110011101000000000
31120220212022112201221001202
42300121212302303220000
53042102101302212000
641440454234520332
72360536330325102
oct260314662635000
946825275657052
1012122122304000
113953a66021375
1214394222960a8
1369c15a4a3b27
142dc9dcb39572
151604ce396dd5
hexb0666cb3a00

12122122304000 has 80 divisors (see below), whose sum is σ = 30227269757256. Its totient is φ = 4848848896000.

The previous prime is 12122122303987. The next prime is 12122122304053. The reversal of 12122122304000 is 40322122121.

It can be written as a sum of positive squares in 4 ways, for example, as 7840268802304 + 4281853501696 = 2800048^2 + 2069264^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94640081 + ... + 94768080.

Almost surely, 212122122304000 is an apocalyptic number.

12122122304000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122122304000 is an abundant number, since it is smaller than the sum of its proper divisors (18105147453256).

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

12122122304000 is an frugal number, since it uses more digits than its factorization.

12122122304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189408194 (or 189408168 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12122122304000 its reverse (40322122121), we get a palindrome (12162444426121).

The spelling of 12122122304000 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-two million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1280 1600 2000 2560 3200 4000 6400 8000 12800 16000 32000 64000 189408161 378816322 757632644 947040805 1515265288 1894081610 3030530576 3788163220 4735204025 6061061152 7576326440 9470408050 12122122304 15152652880 18940816100 23676020125 24244244608 30305305760 37881632200 47352040250 48488489216 60610611520 75763264400 94704080500 96976978432 121221223040 151526528800 189408161000 242442446080 303053057600 378816322000 484884892160 606106115200 757632644000 1212212230400 1515265288000 2424424460800 3030530576000 6061061152000 12122122304000