234214002120 has 128 divisors (see below), whose sum is σ = 807224279040. Its totient is φ = 53254306560.

The previous prime is 234214002103. The next prime is 234214002149. The reversal of 234214002120 is 21200412432.

234214002120 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 (21).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 569472 + ... + 890351.

It is an arithmetic number, because the mean of its divisors is an integer number (6306439680).

Almost surely, 2^234214002120 is an apocalyptic number.

234214002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234214002120 is an abundant number, since it is smaller than the sum of its proper divisors (573010276920).

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

234214002120 is a wasteful number, since it uses less digits than its factorization.

234214002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460035 (or 1460031 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 234214002120 its reverse (21200412432), we get a palindrome (255414414552).

The spelling of 234214002120 in words is "two hundred thirty-four billion, two hundred fourteen million, two thousand, one hundred twenty".