1122123312300 has 288 divisors, whose sum is σ = 3588090347520. Its totient is φ = 269489721600.

The previous prime is 1122123312263. The next prime is 1122123312307. The reversal of 1122123312300 is 32133212211.

It is not an unprimeable number, because it can be changed into a prime (1122123312307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21343045 + ... + 21395555.

It is an arithmetic number, because the mean of its divisors is an integer number (12458647040).

Almost surely, 2^{1122123312300} is an apocalyptic number.

1122123312300 is a gapful number since it is divisible by the number (10) 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 1122123312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794045173760).

1122123312300 is an abundant number, since it is smaller than the sum of its proper divisors (2465967035220).

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

1122123312300 is a wasteful number, since it uses less digits than its factorization.

1122123312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52733 (or 52726 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1122123312300 its reverse (32133212211), we get a palindrome (1154256524511).

The spelling of 1122123312300 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-three million, three hundred twelve thousand, three hundred".