54120000 has 280 divisors, whose sum is σ = 199960992. Its totient is φ = 12800000.

The previous prime is 54119969. The next prime is 54120007. The reversal of 54120000 is 2145.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (54120007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1319980 + ... + 1320020.

Almost surely, 2^54120000 is an apocalyptic number.

54120000 is a gapful number since it is divisible by the number (50) 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 54120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99980496).

54120000 is an abundant number, since it is smaller than the sum of its proper divisors (145840992).

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

54120000 is a wasteful number, since it uses less digits than its factorization.

54120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 54120000 is about 7356.6296630998. The cubic root of 54120000 is about 378.2560902852.

Adding to 54120000 its reverse (2145), we get a palindrome (54122145).

The spelling of 54120000 in words is "fifty-four million, one hundred twenty thousand".