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12034022000000 = 2756711136011
BaseRepresentation
bin1010111100011110001110…
…0110110100010110000000
31120121102220200110202221112
42233013203212310112000
53034131134113000000
641332204155342452
72351300166153620
oct257074346642600
946542820422845
1012034022000000
11391a666768a80
121424335751a28
13693a5a109c30
142d8642266880
1515d074bb8235
hexaf1e39b4580

12034022000000 has 896 divisors, whose sum is σ = 40242309891840. Its totient is φ = 3461760000000.

The previous prime is 12034021999999. The next prime is 12034022000083. The reversal of 12034022000000 is 22043021.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2001996995 + ... + 2002003005.

It is an arithmetic number, because the mean of its divisors is an integer number (44913292290).

Almost surely, 212034022000000 is an apocalyptic number.

12034022000000 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 12034022000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20121154945920).

12034022000000 is an abundant number, since it is smaller than the sum of its proper divisors (28208287891840).

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

12034022000000 is an frugal number, since it uses more digits than its factorization.

12034022000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6086 (or 6049 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 12034022000000 its reverse (22043021), we get a palindrome (12034044043021).

The spelling of 12034022000000 in words is "twelve trillion, thirty-four billion, twenty-two million", and thus it is an aban number.