1225332000 has 288 divisors, whose sum is σ = 4404791664. Its totient is φ = 322560000.

The previous prime is 1225331957. The next prime is 1225332013. The reversal of 1225332000 is 2335221.

It can be written as a sum of positive squares in 8 ways, for example, as 146603664 + 1078728336 = 12108^2 + 32844^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3635832 + ... + 3636168.

Almost surely, 2^1225332000 is an apocalyptic number.

1225332000 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 1225332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202395832).

1225332000 is an abundant number, since it is smaller than the sum of its proper divisors (3179459664).

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

1225332000 is a wasteful number, since it uses less digits than its factorization.

1225332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1225332000 is about 35004.7425358336. The cubic root of 1225332000 is about 1070.0841346484.

Adding to 1225332000 its reverse (2335221), we get a palindrome (1227667221).

It can be divided in two parts, 12253 and 32000, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 1225332000 in words is "one billion, two hundred twenty-five million, three hundred thirty-two thousand".