214020335052120 has 64 divisors (see below), whose sum is σ = 649796679947520. Its totient is φ = 56384473810304.

The previous prime is 214020335052107. The next prime is 214020335052127. The reversal of 214020335052120 is 21250533020412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214020335052127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10743982764 + ... + 10744002683.

It is an arithmetic number, because the mean of its divisors is an integer number (10153073124180).

Almost surely, 2^{214020335052120} is an apocalyptic number.

214020335052120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214020335052120 is an abundant number, since it is smaller than the sum of its proper divisors (435776344895400).

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

214020335052120 is a wasteful number, since it uses less digits than its factorization.

214020335052120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21487985544 (or 21487985540 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 214020335052120 its reverse (21250533020412), we get a palindrome (235270868072532).

The spelling of 214020335052120 in words is "two hundred fourteen trillion, twenty billion, three hundred thirty-five million, fifty-two thousand, one hundred twenty".