1011233400 has 96 divisors (see below), whose sum is σ = 3165452160. Its totient is φ = 267027840.

The previous prime is 1011233383. The next prime is 1011233401. The reversal of 1011233400 is 43321101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1011233400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011233401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53619 + ... + 69981.

It is an arithmetic number, because the mean of its divisors is an integer number (32973460).

Almost surely, 2^1011233400 is an apocalyptic number.

1011233400 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 1011233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582726080).

1011233400 is an abundant number, since it is smaller than the sum of its proper divisors (2154218760).

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

1011233400 is a wasteful number, since it uses less digits than its factorization.

1011233400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16485 (or 16476 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1011233400 is about 31799.8962262458. The cubic root of 1011233400 is about 1003.7305324882.

Adding to 1011233400 its reverse (43321101), we get a palindrome (1054554501).

The spelling of 1011233400 in words is "one billion, eleven million, two hundred thirty-three thousand, four hundred".