1225144400 has 60 divisors (see below), whose sum is σ = 2983801212. Its totient is φ = 483333120.

The previous prime is 1225144399. The next prime is 1225144429. The reversal of 1225144400 is 44415221.

It can be written as a sum of positive squares in 6 ways, for example, as 8809024 + 1216335376 = 2968^2 + 34876^2 .

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, 8222 + ... + 50178.

Almost surely, 2^1225144400 is an apocalyptic number.

1225144400 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 1225144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491900606).

1225144400 is an abundant number, since it is smaller than the sum of its proper divisors (1758656812).

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

1225144400 is a wasteful number, since it uses less digits than its factorization.

1225144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42048 (or 42037 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 1225144400 is about 35002.0627963553. The cubic root of 1225144400 is about 1070.0295214145.

Adding to 1225144400 its reverse (44415221), we get a palindrome (1269559621).

It can be divided in two parts, 1225 and 144400, that multiplied together give a square (176890000 = 13300²).

The spelling of 1225144400 in words is "one billion, two hundred twenty-five million, one hundred forty-four thousand, four hundred".