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12122022120000 = 2635413231312579
BaseRepresentation
bin1011000001100110000011…
…0100101000101001000000
31120220212001120020001110020
42300121200310220221000
53042101400130320000
641440440255333440
72360534002635342
oct260314064505100
946825046201406
1012122022120000
113953a14514681
1214393b4821280
1369c1427c7660
142dc9cd6db292
151604c56a7ba0
hexb0660d28a40

12122022120000 has 1120 divisors, whose sum is σ = 45399143623680. Its totient is φ = 2831262720000.

The previous prime is 12122022119989. The next prime is 12122022120007. The reversal of 12122022120000 is 2122022121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (12122022120007) 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, 4700278711 + ... + 4700281289.

It is an arithmetic number, because the mean of its divisors is an integer number (40534949664).

Almost surely, 212122022120000 is an apocalyptic number.

12122022120000 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 12122022120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22699571811840).

12122022120000 is an abundant number, since it is smaller than the sum of its proper divisors (33277121503680).

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

12122022120000 is a wasteful number, since it uses less digits than its factorization.

12122022120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12122022120000 its reverse (2122022121), we get a palindrome (12124144142121).

The spelling of 12122022120000 in words is "twelve trillion, one hundred twenty-two billion, twenty-two million, one hundred twenty thousand".