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14122104000000 = 293561734613
BaseRepresentation
bin1100110110000000111011…
…1111100000111000000000
31212000001121201010211122220
43031200032333200320000
53322334032111000000
650011334403331040
72655200621256543
oct315401677407000
955001551124586
1014122104000000
114555172600087
121700b60080a80
137b5929cc9a19
1436b728dc285a
1519753595b1a0
hexcd80efe0e00

14122104000000 has 560 divisors, whose sum is σ = 49794846680304. Its totient is φ = 3544268800000.

The previous prime is 14122103999999. The next prime is 14122104000023. The reversal of 14122104000000 is 40122141.

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 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, 407982694 + ... + 408017306.

Almost surely, 214122104000000 is an apocalyptic number.

14122104000000 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 14122104000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24897423340152).

14122104000000 is an abundant number, since it is smaller than the sum of its proper divisors (35672742680304).

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

14122104000000 is an frugal number, since it uses more digits than its factorization.

14122104000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34681 (or 34640 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 14122104000000 its reverse (40122141), we get a palindrome (14122144122141).

The spelling of 14122104000000 in words is "fourteen trillion, one hundred twenty-two billion, one hundred four million", and thus it is an aban number.