12145032900 has 1296 divisors, whose sum is σ = 55308210048. Its totient is φ = 2156544000.

The previous prime is 12145032899. The next prime is 12145032929. The reversal of 12145032900 is 923054121.

12145032900 is a `hidden beast` number, since 121 + 450 + 3 + 2 + 90 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 199098870 + ... + 199098930.

It is an arithmetic number, because the mean of its divisors is an integer number (42676088).

Almost surely, 2^12145032900 is an apocalyptic number.

12145032900 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 12145032900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27654105024).

12145032900 is an abundant number, since it is smaller than the sum of its proper divisors (43163177148).

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

12145032900 is a wasteful number, since it uses less digits than its factorization.

12145032900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 12145032900 in words is "twelve billion, one hundred forty-five million, thirty-two thousand, nine hundred".