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12122011220000 = 2554113179149151
BaseRepresentation
bin1011000001100110000000…
…1011000011100000100000
31120220212000210201021110112
42300121200023003200200
53042101334333020000
641440435225550452
72360533511200043
oct260314013034040
946825023637415
1012122011220000
113953a0934a310
1214393b1045428
1369c14047c256
142dc9cc0a0c5a
151604c4753235
hexb06602c3820

12122011220000 has 960 divisors, whose sum is σ = 34462568448000. Its totient is φ = 4155840000000.

The previous prime is 12122011219957. The next prime is 12122011220009. The reversal of 12122011220000 is 2211022121.

It is not an unprimeable number, because it can be changed into a prime (12122011220009) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 80278219925 + ... + 80278220075.

It is an arithmetic number, because the mean of its divisors is an integer number (35898508800).

Almost surely, 212122011220000 is an apocalyptic number.

12122011220000 is a gapful number since it is divisible by the number (10) 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 12122011220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17231284224000).

12122011220000 is an abundant number, since it is smaller than the sum of its proper divisors (22340557228000).

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

12122011220000 is a wasteful number, since it uses less digits than its factorization.

12122011220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12122011220000 its reverse (2211022121), we get a palindrome (12124222242121).

The spelling of 12122011220000 in words is "twelve trillion, one hundred twenty-two billion, eleven million, two hundred twenty thousand".