12573120 has 112 divisors (see below), whose sum is σ = 45646848. Its totient is φ = 2872320.

The previous prime is 12573103. The next prime is 12573163. The reversal of 12573120 is 2137521.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5785 + ... + 7655.

Almost surely, 2^12573120 is an apocalyptic number.

12573120 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 12573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22823424).

12573120 is an abundant number, since it is smaller than the sum of its proper divisors (33073728).

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

12573120 is a wasteful number, since it uses less digits than its factorization.

12573120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 12573120 is about 3545.8595572865. The cubic root of 12573120 is about 232.5310861429.

It can be divided in two parts, 125731 and 20, that added together give a triangular number (125751 = T₅₀₁).

The spelling of 12573120 in words is "twelve million, five hundred seventy-three thousand, one hundred twenty".