1122208567872 has 448 divisors, whose sum is σ = 3692197969920. Its totient is φ = 293753585664.

The previous prime is 1122208567829. The next prime is 1122208567943. The reversal of 1122208567872 is 2787658022211.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113843968 + ... + 113853824.

Almost surely, 2^{1122208567872} is an apocalyptic number.

1122208567872 is a gapful number since it is divisible by the number (12) 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 1122208567872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846098984960).

1122208567872 is an abundant number, since it is smaller than the sum of its proper divisors (2569989402048).

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

1122208567872 is a wasteful number, since it uses less digits than its factorization.

1122208567872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10058 (or 10048 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 1122208567872 in words is "one trillion, one hundred twenty-two billion, two hundred eight million, five hundred sixty-seven thousand, eight hundred seventy-two".