1005014241200 has 60 divisors (see below), whose sum is σ = 2416244883168. Its totient is φ = 401722963200.

The previous prime is 1005014241199. The next prime is 1005014241269. The reversal of 1005014241200 is 21424105001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313631 + ... + 1452030.

Almost surely, 2^{1005014241200} is an apocalyptic number.

1005014241200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005014241200 is an abundant number, since it is smaller than the sum of its proper divisors (1411230641968).

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

1005014241200 is a wasteful number, since it uses less digits than its factorization.

1005014241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767102 (or 1767091 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 1005014241200 its reverse (21424105001), we get a palindrome (1026438346201).

The spelling of 1005014241200 in words is "one trillion, five billion, fourteen million, two hundred forty-one thousand, two hundred".