12077100 has 216 divisors, whose sum is σ = 45497088. Its totient is φ = 2721600.

The previous prime is 12077077. The next prime is 12077129. The reversal of 12077100 is 177021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 170065 + ... + 170135.

Almost surely, 2^12077100 is an apocalyptic number.

12077100 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 12077100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22748544).

12077100 is an abundant number, since it is smaller than the sum of its proper divisors (33419988).

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

12077100 is a wasteful number, since it uses less digits than its factorization.

12077100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 12077100 is about 3475.2122237354. The cubic root of 12077100 is about 229.4321214098.

The spelling of 12077100 in words is "twelve million, seventy-seven thousand, one hundred".