12153104141200 has 90 divisors (see below), whose sum is σ = 32093485656722. Its totient is φ = 4419310579200.

The previous prime is 12153104141137. The next prime is 12153104141203. The reversal of 12153104141200 is 214140135121.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 629496254464 + 11523607886736 = 793408^2 + 3394644^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12153104141203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 125500197 + ... + 125596996.

Almost surely, 2^{12153104141200} is an apocalyptic number.

12153104141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12153104141200 is an abundant number, since it is smaller than the sum of its proper divisors (19940381515522).

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

12153104141200 is a wasteful number, since it uses less digits than its factorization.

12153104141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251097233 (or 251097211 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 12153104141200 its reverse (214140135121), we get a palindrome (12367244276321).

The spelling of 12153104141200 in words is "twelve trillion, one hundred fifty-three billion, one hundred four million, one hundred forty-one thousand, two hundred".