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12102022000000 = 2756101181331
BaseRepresentation
bin1011000000011011100010…
…1110001110110110000000
31120211221102201110200121001
42300012320232032312000
53041234420113000000
641423331523341344
72356225246501522
oct260067056166600
946757381420531
1012102022000000
113946490a13489
121435552821854
1369a2a60aa21a
142dba533c3a12
1515ec0491646a
hexb01b8b8ed80

12102022000000 has 448 divisors, whose sum is σ = 30695471155440. Its totient is φ = 4752000000000.

The previous prime is 12102021999887. The next prime is 12102022000063. The reversal of 12102022000000 is 22020121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 36561999835 + ... + 36562000165.

Almost surely, 212102022000000 is an apocalyptic number.

12102022000000 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 12102022000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15347735577720).

12102022000000 is an abundant number, since it is smaller than the sum of its proper divisors (18593449155440).

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

12102022000000 is an frugal number, since it uses more digits than its factorization.

12102022000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12102022000000 its reverse (22020121), we get a palindrome (12102044020121).

The spelling of 12102022000000 in words is "twelve trillion, one hundred two billion, twenty-two million", and thus it is an aban number.