1225581280 has 192 divisors, whose sum is σ = 3727503360. Its totient is φ = 369561600.

The previous prime is 1225581271. The next prime is 1225581281. The reversal of 1225581280 is 821855221.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225581281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380316 + ... + 383524.

It is an arithmetic number, because the mean of its divisors is an integer number (19414080).

Almost surely, 2^1225581280 is an apocalyptic number.

1225581280 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 1225581280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863751680).

1225581280 is an abundant number, since it is smaller than the sum of its proper divisors (2501922080).

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

1225581280 is a wasteful number, since it uses less digits than its factorization.

1225581280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 34.

The square root of 1225581280 is about 35008.3030151420. The cubic root of 1225581280 is about 1070.1566952513.

The spelling of 1225581280 in words is "one billion, two hundred twenty-five million, five hundred eighty-one thousand, two hundred eighty".