1245088000 has 288 divisors, whose sum is σ = 3468602592. Its totient is φ = 442368000.

The previous prime is 1245087997. The next prime is 1245088037. The reversal of 1245088000 is 8805421.

It can be written as a sum of positive squares in 16 ways, for example, as 1224440064 + 20647936 = 34992^2 + 4544^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1245088000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17055964 + ... + 17056036.

It is an arithmetic number, because the mean of its divisors is an integer number (12043759).

Almost surely, 2^1245088000 is an apocalyptic number.

1245088000 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 1245088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734301296).

1245088000 is an abundant number, since it is smaller than the sum of its proper divisors (2223514592).

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

1245088000 is an equidigital number, since it uses as much as digits as its factorization.

1245088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 1245088000 is about 35285.8045111628. The cubic root of 1245088000 is about 1075.8044816410.

The spelling of 1245088000 in words is "one billion, two hundred forty-five million, eighty-eight thousand".