12145554300 has 288 divisors, whose sum is σ = 40789889280. Its totient is φ = 2759270400.

The previous prime is 12145554277. The next prime is 12145554329. The reversal of 12145554300 is 345554121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6080902 + ... + 6082898.

It is an arithmetic number, because the mean of its divisors is an integer number (141631560).

Almost surely, 2^12145554300 is an apocalyptic number.

12145554300 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 12145554300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20394944640).

12145554300 is an abundant number, since it is smaller than the sum of its proper divisors (28644334980).

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

12145554300 is a wasteful number, since it uses less digits than its factorization.

12145554300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 12145554300 in words is "twelve billion, one hundred forty-five million, five hundred fifty-four thousand, three hundred".