1207181012016 has 480 divisors, whose sum is σ = 3787588531200. Its totient is φ = 330145320960.

The previous prime is 1207181011979. The next prime is 1207181012027. The reversal of 1207181012016 is 6102101817021.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 827402295 + ... + 827403753.

It is an arithmetic number, because the mean of its divisors is an integer number (7890809440).

Almost surely, 2^{1207181012016} is an apocalyptic number.

1207181012016 is a gapful number since it is divisible by the number (16) 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 1207181012016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893794265600).

1207181012016 is an abundant number, since it is smaller than the sum of its proper divisors (2580407519184).

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

1207181012016 is a wasteful number, since it uses less digits than its factorization.

1207181012016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 30.

Adding to 1207181012016 its reverse (6102101817021), we get a palindrome (7309282829037).

The spelling of 1207181012016 in words is "one trillion, two hundred seven billion, one hundred eighty-one million, twelve thousand, sixteen".