1205612160 has 192 divisors, whose sum is σ = 4020619680. Its totient is φ = 307259392.

The previous prime is 1205612153. The next prime is 1205612167. The reversal of 1205612160 is 612165021.

It is an interprime number because it is at equal distance from previous prime (1205612153) and next prime (1205612167).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1205612160.

It is not an unprimeable number, because it can be changed into a prime (1205612167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1015087 + ... + 1016273.

Almost surely, 2^1205612160 is an apocalyptic number.

1205612160 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 1205612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010309840).

1205612160 is an abundant number, since it is smaller than the sum of its proper divisors (2815007520).

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

1205612160 is a wasteful number, since it uses less digits than its factorization.

1205612160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1205612160 is about 34721.9262138494. The cubic root of 1205612160 is about 1064.3126071867.

Adding to 1205612160 its reverse (612165021), we get a palindrome (1817777181).

The spelling of 1205612160 in words is "one billion, two hundred five million, six hundred twelve thousand, one hundred sixty".