51342120 has 128 divisors (see below), whose sum is σ = 172886400. Its totient is φ = 13552128.

The previous prime is 51342119. The next prime is 51342121. The reversal of 51342120 is 2124315.

51342120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51342119) and next prime (51342121).

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 = 51342093 and 51342102.

It is not an unprimeable number, because it can be changed into a prime (51342121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147787 + ... + 148133.

It is an arithmetic number, because the mean of its divisors is an integer number (1350675).

Almost surely, 2^51342120 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 51342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86443200).

51342120 is an abundant number, since it is smaller than the sum of its proper divisors (121544280).

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

51342120 is a wasteful number, since it uses less digits than its factorization.

51342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 494 counting only the distinct ones).

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

The square root of 51342120 is about 7165.3415829254. The cubic root of 51342120 is about 371.6703635561.

Adding to 51342120 its reverse (2124315), we get a palindrome (53466435).

The spelling of 51342120 in words is "fifty-one million, three hundred forty-two thousand, one hundred twenty".