216123120 has 80 divisors (see below), whose sum is σ = 744431520. Its totient is φ = 57632256.

The previous prime is 216123113. The next prime is 216123121. The reversal of 216123120 is 21321612.

216123120 is a `hidden beast` number, since 2 + 1 + 612 + 31 + 20 = 666.

216123120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 216123093 and 216123102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216123121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47869 + ... + 52188.

It is an arithmetic number, because the mean of its divisors is an integer number (9305394).

Almost surely, 2^216123120 is an apocalyptic number.

216123120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216123120 is an abundant number, since it is smaller than the sum of its proper divisors (528308400).

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

216123120 is a wasteful number, since it uses less digits than its factorization.

216123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100079 (or 100067 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 216123120 is about 14701.1264874499. The cubic root of 216123120 is about 600.1139783469.

Adding to 216123120 its reverse (21321612), we get a palindrome (237444732).

It can be divided in two parts, 2161 and 23120, that added together give a square (25281 = 159²).

The spelling of 216123120 in words is "two hundred sixteen million, one hundred twenty-three thousand, one hundred twenty".