14102120000 has 140 divisors (see below), whose sum is σ = 36177466380. Its totient is φ = 5445888000.

The previous prime is 14102119981. The next prime is 14102120003. The reversal of 14102120000 is 2120141.

It can be written as a sum of positive squares in 10 ways, for example, as 13367059456 + 735060544 = 115616^2 + 27112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14102120003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1153922 + ... + 1166078.

Almost surely, 2^14102120000 is an apocalyptic number.

14102120000 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 14102120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18088733190).

14102120000 is an abundant number, since it is smaller than the sum of its proper divisors (22075346380).

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

14102120000 is an equidigital number, since it uses as much as digits as its factorization.

14102120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12218 (or 12193 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 14102120000 its reverse (2120141), we get a palindrome (14104240141).

The spelling of 14102120000 in words is "fourteen billion, one hundred two million, one hundred twenty thousand".