1040123200 has 84 divisors (see below), whose sum is σ = 2601553852. Its totient is φ = 409190400.

The previous prime is 1040123171. The next prime is 1040123221. The reversal of 1040123200 is 23210401.

It can be written as a sum of positive squares in 6 ways, for example, as 452157696 + 587965504 = 21264^2 + 24248^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92272 + ... + 102928.

Almost surely, 2^1040123200 is an apocalyptic number.

1040123200 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 1040123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300776926).

1040123200 is an abundant number, since it is smaller than the sum of its proper divisors (1561430652).

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

1040123200 is a wasteful number, since it uses less digits than its factorization.

1040123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10740 (or 10725 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1040123200 is about 32250.9410715408. The cubic root of 1040123200 is about 1013.1994090478.

Adding to 1040123200 its reverse (23210401), we get a palindrome (1063333601).

The spelling of 1040123200 in words is "one billion, forty million, one hundred twenty-three thousand, two hundred".