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12040032130000 = 24547797612861
BaseRepresentation
bin1010111100110100100111…
…0101101001001111010000
31120122000102112121000100221
42233031021311221033100
53034230441211130000
641335040413322424
72351602135342540
oct257151165511720
946560375530327
1012040032130000
113922170288666
121425532496414
136944a7311784
142d8a52551320
1515d2c765261a
hexaf349d693d0

12040032130000 has 400 divisors, whose sum is σ = 33792265013760. Its totient is φ = 4068979200000.

The previous prime is 12040032129977. The next prime is 12040032130019. The reversal of 12040032130000 is 3123004021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4208328570 + ... + 4208331430.

Almost surely, 212040032130000 is an apocalyptic number.

12040032130000 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 12040032130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16896132506880).

12040032130000 is an abundant number, since it is smaller than the sum of its proper divisors (21752232883760).

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

12040032130000 is an equidigital number, since it uses as much as digits as its factorization.

12040032130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12040032130000 its reverse (3123004021), we get a palindrome (12043155134021).

The spelling of 12040032130000 in words is "twelve trillion, forty billion, thirty-two million, one hundred thirty thousand".