14205212021000 has 384 divisors, whose sum is σ = 44875455356160. Its totient is φ = 4087010304000.

The previous prime is 14205212020981. The next prime is 14205212021051. The reversal of 14205212021000 is 12021250241.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 12467192 + ... + 13558808.

It is an arithmetic number, because the mean of its divisors is an integer number (116863164990).

Almost surely, 2^{14205212021000} is an apocalyptic number.

14205212021000 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 14205212021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22437727678080).

14205212021000 is an abundant number, since it is smaller than the sum of its proper divisors (30670243335160).

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

14205212021000 is a wasteful number, since it uses less digits than its factorization.

14205212021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091682 (or 1091655 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 14205212021000 its reverse (12021250241), we get a palindrome (14217233271241).

The spelling of 14205212021000 in words is "fourteen trillion, two hundred five billion, two hundred twelve million, twenty-one thousand".