21514000342120 has 384 divisors, whose sum is σ = 60937933190400. Its totient is φ = 6770838159360.

The previous prime is 21514000342057. The next prime is 21514000342169. The reversal of 21514000342120 is 2124300041512.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115868797 + ... + 116054323.

It is an arithmetic number, because the mean of its divisors is an integer number (158692534350).

Almost surely, 2^{21514000342120} is an apocalyptic number.

21514000342120 is a gapful number since it is divisible by the number (20) 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 21514000342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30468966595200).

21514000342120 is an abundant number, since it is smaller than the sum of its proper divisors (39423932848280).

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

21514000342120 is a wasteful number, since it uses less digits than its factorization.

21514000342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185689 (or 185674 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 21514000342120 its reverse (2124300041512), we get a palindrome (23638300383632).

The spelling of 21514000342120 in words is "twenty-one trillion, five hundred fourteen billion, three hundred forty-two thousand, one hundred twenty".