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12012121002000 = 2435371032776727
BaseRepresentation
bin1010111011001100101000…
…1101001001000000010000
31120112100101100212210200110
42232303022031021000100
53033301310434031000
641314143041121320
72346563361562530
oct256631215110020
946470340783613
1012012121002000
113911348172029
121420043029240
1369197993c412
142d75656d74c0
1515c6e20e3850
hexaecca349010

12012121002000 has 320 divisors, whose sum is σ = 44689237991424. Its totient is φ = 2718970099200.

The previous prime is 12012121001953. The next prime is 12012121002019. The reversal of 12012121002000 is 20012121021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2937637 + ... + 5714363.

Almost surely, 212012121002000 is an apocalyptic number.

12012121002000 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 12012121002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22344618995712).

12012121002000 is an abundant number, since it is smaller than the sum of its proper divisors (32677116989424).

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

12012121002000 is a wasteful number, since it uses less digits than its factorization.

12012121002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776863 (or 2776847 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12012121002000 its reverse (20012121021), we get a palindrome (12032133123021).

The spelling of 12012121002000 in words is "twelve trillion, twelve billion, one hundred twenty-one million, two thousand".