214034304120 has 256 divisors, whose sum is σ = 790641008640. Its totient is φ = 45138290688.

The previous prime is 214034304103. The next prime is 214034304139. The reversal of 214034304120 is 21403430412.

214034304120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42072217 + ... + 42077303.

It is an arithmetic number, because the mean of its divisors is an integer number (3088441440).

Almost surely, 2^214034304120 is an apocalyptic number.

214034304120 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 214034304120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395320504320).

214034304120 is an abundant number, since it is smaller than the sum of its proper divisors (576606704520).

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

214034304120 is a wasteful number, since it uses less digits than its factorization.

214034304120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8974 (or 8970 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 214034304120 its reverse (21403430412), we get a palindrome (235437734532).

The spelling of 214034304120 in words is "two hundred fourteen billion, thirty-four million, three hundred four thousand, one hundred twenty".