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12123132000000 = 283567144323
BaseRepresentation
bin1011000001101010001011…
…1110011111011100000000
31120220221220220122210120220
42300122202332133130000
53042111133243000000
641441142344103040
72360603340521160
oct260324276373400
946827826583526
1012123132000000
113954433a6797a
121439664464a80
1369c28b727398
142dca96c8c5a0
1516053cd411a0
hexb06a2f9f700

12123132000000 has 504 divisors, whose sum is σ = 46092887503488. Its totient is φ = 2770982400000.

The previous prime is 12123131999977. The next prime is 12123132000043. The reversal of 12123132000000 is 23132121.

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 55 ways as a sum of consecutive naturals, for example, 83927839 + ... + 84072161.

It is an arithmetic number, because the mean of its divisors is an integer number (91454141872).

Almost surely, 212123132000000 is an apocalyptic number.

12123132000000 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 12123132000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23046443751744).

12123132000000 is an abundant number, since it is smaller than the sum of its proper divisors (33969755503488).

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

12123132000000 is an frugal number, since it uses more digits than its factorization.

12123132000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144379 (or 144340 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12123132000000 its reverse (23132121), we get a palindrome (12123155132121).

The spelling of 12123132000000 in words is "twelve trillion, one hundred twenty-three billion, one hundred thirty-two million", and thus it is an aban number.