54213120 has 240 divisors, whose sum is σ = 203315112. Its totient is φ = 13271040.

The previous prime is 54213113. The next prime is 54213127. The reversal of 54213120 is 2131245.

54213120 is a `hidden beast` number, since 542 + 1 + 3 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (54213113) and next prime (54213127).

It can be written as a sum of positive squares in 4 ways, for example, as 15872256 + 38340864 = 3984^2 + 6192^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 54213093 and 54213102.

It is not an unprimeable number, because it can be changed into a prime (54213127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299430 + ... + 299610.

Almost surely, 2^54213120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101657556).

54213120 is an abundant number, since it is smaller than the sum of its proper divisors (149101992).

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

54213120 is a wasteful number, since it uses less digits than its factorization.

54213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 54213120 is about 7362.9559281582. The cubic root of 54213120 is about 378.4729110816.

Adding to 54213120 its reverse (2131245), we get a palindrome (56344365).

The spelling of 54213120 in words is "fifty-four million, two hundred thirteen thousand, one hundred twenty".