16125120 has 168 divisors, whose sum is σ = 60624720. Its totient is φ = 3901440.

The previous prime is 16125119. The next prime is 16125127. The reversal of 16125120 is 2152161.

16125120 is a `hidden beast` number, since 1 + 612 + 51 + 2 + 0 = 666.

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

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 16125093 and 16125102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16125127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31426 + ... + 31934.

Almost surely, 2^16125120 is an apocalyptic number.

16125120 is a gapful number since it is divisible by the number (10) 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 16125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30312360).

16125120 is an abundant number, since it is smaller than the sum of its proper divisors (44499600).

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

16125120 is a wasteful number, since it uses less digits than its factorization.

16125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 530 counting only the distinct ones).

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

The square root of 16125120 is about 4015.6095427718. The cubic root of 16125120 is about 252.6393440596.

Adding to 16125120 its reverse (2152161), we get a palindrome (18277281).

It can be divided in two parts, 161 and 25120, that added together give a square (25281 = 159²).

The spelling of 16125120 in words is "sixteen million, one hundred twenty-five thousand, one hundred twenty".