12154451024100 has 864 divisors, whose sum is σ = 47336140043136. Its totient is φ = 2372828774400.

The previous prime is 12154451024069. The next prime is 12154451024113. The reversal of 12154451024100 is 142015445121.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1685072094 + ... + 1685079306.

It is an arithmetic number, because the mean of its divisors is an integer number (54787199124).

Almost surely, 2^{12154451024100} is an apocalyptic number.

12154451024100 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 12154451024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23668070021568).

12154451024100 is an abundant number, since it is smaller than the sum of its proper divisors (35181689019036).

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

12154451024100 is a wasteful number, since it uses less digits than its factorization.

12154451024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7885 (or 7871 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 12154451024100 its reverse (142015445121), we get a palindrome (12296466469221).

The spelling of 12154451024100 in words is "twelve trillion, one hundred fifty-four billion, four hundred fifty-one million, twenty-four thousand, one hundred".