1225553160 has 128 divisors (see below), whose sum is σ = 4131751680. Its totient is φ = 288549888.

The previous prime is 1225553117. The next prime is 1225553201. The reversal of 1225553160 is 613555221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18802 + ... + 52958.

It is an arithmetic number, because the mean of its divisors is an integer number (32279310).

Almost surely, 2^1225553160 is an apocalyptic number.

1225553160 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 1225553160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065875840).

1225553160 is an abundant number, since it is smaller than the sum of its proper divisors (2906198520).

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

1225553160 is a wasteful number, since it uses less digits than its factorization.

1225553160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34207 (or 34203 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 1225553160 is about 35007.9013938282. The cubic root of 1225553160 is about 1070.1485105537.

The spelling of 1225553160 in words is "one billion, two hundred twenty-five million, five hundred fifty-three thousand, one hundred sixty".