1011123300 has 144 divisors (see below), whose sum is σ = 3204294912. Its totient is φ = 244137600.

The previous prime is 1011123299. The next prime is 1011123307. The reversal of 1011123300 is 33211101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1011123307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1144659 + ... + 1145541.

It is an arithmetic number, because the mean of its divisors is an integer number (22252048).

Almost surely, 2^1011123300 is an apocalyptic number.

1011123300 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 1011123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602147456).

1011123300 is an abundant number, since it is smaller than the sum of its proper divisors (2193171612).

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

1011123300 is a wasteful number, since it uses less digits than its factorization.

1011123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1011123300 is about 31798.1650413982. The cubic root of 1011123300 is about 1003.6941034625.

Adding to 1011123300 its reverse (33211101), we get a palindrome (1044334401).

It can be divided in two parts, 10111 and 23300, that added together give a triangular number (33411 = T₂₅₈).

The spelling of 1011123300 in words is "one billion, eleven million, one hundred twenty-three thousand, three hundred".