214452617252120 has 256 divisors, whose sum is σ = 574809905174400. Its totient is φ = 71242459545600.

The previous prime is 214452617252119. The next prime is 214452617252123. The reversal of 214452617252120 is 21252716254412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214452617252123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21751127 + ... + 30033593.

Almost surely, 2^{214452617252120} is an apocalyptic number.

214452617252120 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 214452617252120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287404952587200).

214452617252120 is an abundant number, since it is smaller than the sum of its proper divisors (360357287922280).

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

214452617252120 is a wasteful number, since it uses less digits than its factorization.

214452617252120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8282638 (or 8282634 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 44.

The spelling of 214452617252120 in words is "two hundred fourteen trillion, four hundred fifty-two billion, six hundred seventeen million, two hundred fifty-two thousand, one hundred twenty".