1207141132800 has 480 divisors, whose sum is σ = 4149947957760. Its totient is φ = 309064089600.

The previous prime is 1207141132733. The next prime is 1207141132819. The reversal of 1207141132800 is 82311417021.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 97414605 + ... + 97426995.

It is an arithmetic number, because the mean of its divisors is an integer number (8645724912).

Almost surely, 2^{1207141132800} is an apocalyptic number.

1207141132800 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 1207141132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074973978880).

1207141132800 is an abundant number, since it is smaller than the sum of its proper divisors (2942806824960).

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

1207141132800 is a wasteful number, since it uses less digits than its factorization.

1207141132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12524 (or 12503 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

Adding to 1207141132800 its reverse (82311417021), we get a palindrome (1289452549821).

The spelling of 1207141132800 in words is "one trillion, two hundred seven billion, one hundred forty-one million, one hundred thirty-two thousand, eight hundred".