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12012121122000 = 2435343223281743
BaseRepresentation
bin1010111011001100101000…
…1101100110010011010000
31120112100101101002220021220
42232303022031212103100
53033301311001401000
641314143043445040
72346563362602426
oct256631215462320
946470341086256
1012012121122000
1139113482441aa
121420043086780
13691979981c1c
142d7565729116
1515c6e21191a0
hexaecca3664d0

12012121122000 has 640 divisors, whose sum is σ = 40000831782912. Its totient is φ = 3099446784000.

The previous prime is 12012121121977. The next prime is 12012121122011. The reversal of 12012121122000 is 22112121021.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16167053629 + ... + 16167054371.

Almost surely, 212012121122000 is an apocalyptic number.

12012121122000 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 12012121122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20000415891456).

12012121122000 is an abundant number, since it is smaller than the sum of its proper divisors (27988710660912).

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

12012121122000 is a wasteful number, since it uses less digits than its factorization.

12012121122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12012121122000 its reverse (22112121021), we get a palindrome (12034233243021).

The spelling of 12012121122000 in words is "twelve trillion, twelve billion, one hundred twenty-one million, one hundred twenty-two thousand".