1225186160 has 160 divisors (see below), whose sum is σ = 3208455360. Its totient is φ = 431308800.

The previous prime is 1225186121. The next prime is 1225186169. The reversal of 1225186160 is 616815221.

It is a super-2 number, since 2×1225186160² = 3002162253311091200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225186169) 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, 5083640 + ... + 5083880.

It is an arithmetic number, because the mean of its divisors is an integer number (20052846).

Almost surely, 2^1225186160 is an apocalyptic number.

1225186160 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 1225186160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604227680).

1225186160 is an abundant number, since it is smaller than the sum of its proper divisors (1983269200).

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

1225186160 is a wasteful number, since it uses less digits than its factorization.

1225186160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 1225186160 is about 35002.6593275425. The cubic root of 1225186160 is about 1070.0416788726.

The spelling of 1225186160 in words is "one billion, two hundred twenty-five million, one hundred eighty-six thousand, one hundred sixty".