1122401234416 has 160 divisors (see below), whose sum is σ = 2781389979648. Its totient is φ = 426070782720.

The previous prime is 1122401234407. The next prime is 1122401234417. The reversal of 1122401234416 is 6144321042211.

It is a happy number.

It is a super-2 number, since 2×1122401234416² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122401234417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12869131 + ... + 12956053.

Almost surely, 2^{1122401234416} is an apocalyptic number.

1122401234416 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 1122401234416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390694989824).

1122401234416 is an abundant number, since it is smaller than the sum of its proper divisors (1658988745232).

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

1122401234416 is a wasteful number, since it uses less digits than its factorization.

1122401234416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87219 (or 87213 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 1122401234416 its reverse (6144321042211), we get a palindrome (7266722276627).

The spelling of 1122401234416 in words is "one trillion, one hundred twenty-two billion, four hundred one million, two hundred thirty-four thousand, four hundred sixteen".