1122312100 has 216 divisors, whose sum is σ = 3087927360. Its totient is φ = 346544640.

The previous prime is 1122312091. The next prime is 1122312119. The reversal of 1122312100 is 12132211.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6269811 + ... + 6269989.

It is an arithmetic number, because the mean of its divisors is an integer number (14295960).

Almost surely, 2^1122312100 is an apocalyptic number.

1122312100 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 1122312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543963680).

1122312100 is an abundant number, since it is smaller than the sum of its proper divisors (1965615260).

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

1122312100 is a wasteful number, since it uses less digits than its factorization.

1122312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1122312100 is about 33500.9268528499. The cubic root of 1122312100 is about 1039.2129461884.

Adding to 1122312100 its reverse (12132211), we get a palindrome (1134444311).

The spelling of 1122312100 in words is "one billion, one hundred twenty-two million, three hundred twelve thousand, one hundred".