3129120 has 144 divisors (see below), whose sum is σ = 11144952. Its totient is φ = 798720.

The previous prime is 3129103. The next prime is 3129121. The reversal of 3129120 is 219213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2039184 + 1089936 = 1428^2 + 1044^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 3129093 and 3129102.

It is not an unprimeable number, because it can be changed into a prime (3129121) 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 23 ways as a sum of consecutive naturals, for example, 59014 + ... + 59066.

Almost surely, 2^3129120 is an apocalyptic number.

3129120 is a gapful number since it is divisible by the number (30) 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 3129120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5572476).

3129120 is an abundant number, since it is smaller than the sum of its proper divisors (8015832).

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

3129120 is a wasteful number, since it uses less digits than its factorization.

3129120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 3129120 is about 1768.9318811079. The cubic root of 3129120 is about 146.2651091118.

It can be divided in two parts, 3129 and 120, that added together give a square (3249 = 57²).

The spelling of 3129120 in words is "three million, one hundred twenty-nine thousand, one hundred twenty".