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14122110000 = 24354617717
BaseRepresentation
bin11010010011011111…
…00100110000110000
31100110012020112000010
431021233210300300
5212410230010000
610253153454520
71006646645235
oct151157446060
940405215003
1014122110000
115a97621299
1228a1571440
1314409c430b
1497d7c178c
15579c03d50
hex349be4c30

14122110000 has 200 divisors, whose sum is σ = 46341403504. Its totient is φ = 3703680000.

The previous prime is 14122109999. The next prime is 14122110007. The reversal of 14122110000 is 1122141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14122110007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1826142 + ... + 1833858.

Almost surely, 214122110000 is an apocalyptic number.

14122110000 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 14122110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23170701752).

14122110000 is an abundant number, since it is smaller than the sum of its proper divisors (32219293504).

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

14122110000 is an equidigital number, since it uses as much as digits as its factorization.

14122110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7809 (or 7788 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 14122110000 its reverse (1122141), we get a palindrome (14123232141).

The spelling of 14122110000 in words is "fourteen billion, one hundred twenty-two million, one hundred ten thousand".