1045122400 has 72 divisors (see below), whose sum is σ = 2915907120. Its totient is φ = 358325760.

The previous prime is 1045122373. The next prime is 1045122433. The reversal of 1045122400 is 42215401.

1045122400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 87715 + ... + 98914.

It is an arithmetic number, because the mean of its divisors is an integer number (40498710).

Almost surely, 2^1045122400 is an apocalyptic number.

1045122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1045122400 is an abundant number, since it is smaller than the sum of its proper divisors (1870784720).

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

1045122400 is a wasteful number, since it uses less digits than its factorization.

1045122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186656 (or 186643 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1045122400 is about 32328.3528810238. The cubic root of 1045122400 is about 1014.8200802206.

Adding to 1045122400 its reverse (42215401), we get a palindrome (1087337801).

The spelling of 1045122400 in words is "one billion, forty-five million, one hundred twenty-two thousand, four hundred".