12056100 has 72 divisors (see below), whose sum is σ = 39872448. Its totient is φ = 2755200.

The previous prime is 12056087. The next prime is 12056113. The reversal of 12056100 is 165021.

It is an interprime number because it is at equal distance from previous prime (12056087) and next prime (12056113).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12056100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 771 + ... + 4970.

It is an arithmetic number, because the mean of its divisors is an integer number (553784).

Almost surely, 2^12056100 is an apocalyptic number.

12056100 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 12056100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19936224).

12056100 is an abundant number, since it is smaller than the sum of its proper divisors (27816348).

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

12056100 is a wasteful number, since it uses less digits than its factorization.

12056100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5765 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 12056100 is about 3472.1895109570. The cubic root of 12056100 is about 229.2990632570.

The spelling of 12056100 in words is "twelve million, fifty-six thousand, one hundred".