1123300212300 has 432 divisors, whose sum is σ = 4075361035200. Its totient is φ = 253480550400.

The previous prime is 1123300212283. The next prime is 1123300212313. The reversal of 1123300212300 is 32120033211.

1123300212300 is a `hidden beast` number, since 1 + 12 + 330 + 0 + 21 + 2 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 527617636 + ... + 527619764.

It is an arithmetic number, because the mean of its divisors is an integer number (9433706100).

Almost surely, 2^{1123300212300} is an apocalyptic number.

1123300212300 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 1123300212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037680517600).

1123300212300 is an abundant number, since it is smaller than the sum of its proper divisors (2952060822900).

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

1123300212300 is a wasteful number, since it uses less digits than its factorization.

1123300212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1123300212300 its reverse (32120033211), we get a palindrome (1155420245511).

The spelling of 1123300212300 in words is "one trillion, one hundred twenty-three billion, three hundred million, two hundred twelve thousand, three hundred".