51612120 has 128 divisors (see below), whose sum is σ = 196646400. Its totient is φ = 11795328.

The previous prime is 51612109. The next prime is 51612133. The reversal of 51612120 is 2121615.

51612120 is a `hidden beast` number, since 51 + 612 + 1 + 2 + 0 = 666.

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 = 51612093 and 51612102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4147 + ... + 10973.

It is an arithmetic number, because the mean of its divisors is an integer number (1536300).

Almost surely, 2^51612120 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 51612120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98323200).

51612120 is an abundant number, since it is smaller than the sum of its proper divisors (145034280).

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

51612120 is a wasteful number, since it uses less digits than its factorization.

51612120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6854 (or 6844 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 51612120 is about 7184.1575706550. The cubic root of 51612120 is about 372.3207431428.

Adding to 51612120 its reverse (2121615), we get a palindrome (53733735).

It can be divided in two parts, 51612 and 120, that multiplied together give a triangular number (6193440 = T₃₅₁₉).

The spelling of 51612120 in words is "fifty-one million, six hundred twelve thousand, one hundred twenty".