1012272400 has 30 divisors (see below), whose sum is σ = 2431985402. Its totient is φ = 404908800.

The previous prime is 1012272341. The next prime is 1012272403. The reversal of 1012272400 is 42722101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 29073664 + 983198736 = 5392^2 + 31356^2 .

It is not an unprimeable number, because it can be changed into a prime (1012272403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1264941 + ... + 1265740.

Almost surely, 2^1012272400 is an apocalyptic number.

1012272400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012272400 is an abundant number, since it is smaller than the sum of its proper divisors (1419713002).

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

1012272400 is a wasteful number, since it uses less digits than its factorization.

1012272400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530699 (or 2530688 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 1012272400 is about 31816.2285634234. The cubic root of 1012272400 is about 1004.0741785270.

Adding to 1012272400 its reverse (42722101), we get a palindrome (1054994501).

The spelling of 1012272400 in words is "one billion, twelve million, two hundred seventy-two thousand, four hundred".