1207008222336 has 1152 divisors, whose sum is σ = 4446035568000. Its totient is φ = 312134860800.

The previous prime is 1207008222331. The next prime is 1207008222391. The reversal of 1207008222336 is 6332228007021.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1207008222336.

It is not an unprimeable number, because it can be changed into a prime (1207008222331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4696529920 + ... + 4696530176.

It is an arithmetic number, because the mean of its divisors is an integer number (3859405875).

Almost surely, 2^{1207008222336} is an apocalyptic number.

1207008222336 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 1207008222336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223017784000).

1207008222336 is an abundant number, since it is smaller than the sum of its proper divisors (3239027345664).

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

1207008222336 is a wasteful number, since it uses less digits than its factorization.

1207008222336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 1207008222336 in words is "one trillion, two hundred seven billion, eight million, two hundred twenty-two thousand, three hundred thirty-six".