214411332120 has 64 divisors (see below), whose sum is σ = 646466400000. Its totient is φ = 56889030528.

The previous prime is 214411332103. The next prime is 214411332203. The reversal of 214411332120 is 21233114412.

214411332120 is digitally balanced in base 2, 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4465470 + ... + 4513229.

It is an arithmetic number, because the mean of its divisors is an integer number (10101037500).

Almost surely, 2^214411332120 is an apocalyptic number.

214411332120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214411332120 is an abundant number, since it is smaller than the sum of its proper divisors (432055067880).

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

214411332120 is a wasteful number, since it uses less digits than its factorization.

214411332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8978912 (or 8978908 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 214411332120 its reverse (21233114412), we get a palindrome (235644446532).

The spelling of 214411332120 in words is "two hundred fourteen billion, four hundred eleven million, three hundred thirty-two thousand, one hundred twenty".