12150900 has 108 divisors (see below), whose sum is σ = 39809952. Its totient is φ = 3094080.

The previous prime is 12150889. The next prime is 12150907. The reversal of 12150900 is 905121.

12150900 = 9³ + 10³ + ... + 83³.

12150900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12150907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20407 + ... + 20993.

Almost surely, 2^12150900 is an apocalyptic number.

12150900 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 12150900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19904976).

12150900 is an abundant number, since it is smaller than the sum of its proper divisors (27659052).

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

12150900 is a wasteful number, since it uses less digits than its factorization.

12150900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 12150900 is about 3485.8141086409. The cubic root of 12150900 is about 229.8985059441.

The spelling of 12150900 in words is "twelve million, one hundred fifty thousand, nine hundred".