1201178160 has 720 divisors, whose sum is σ = 5294723616. Its totient is φ = 250822656.

The previous prime is 1201178159. The next prime is 1201178161. The reversal of 1201178160 is 618711021.

It is an interprime number because it is at equal distance from previous prime (1201178159) and next prime (1201178161).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1201178161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12383232 + ... + 12383328.

Almost surely, 2^1201178160 is an apocalyptic number.

1201178160 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 1201178160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647361808).

1201178160 is an abundant number, since it is smaller than the sum of its proper divisors (4093545456).

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

1201178160 is a wasteful number, since it uses less digits than its factorization.

1201178160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 1201178160 is about 34658.0172543093. The cubic root of 1201178160 is about 1063.0062281580.

Adding to 1201178160 its reverse (618711021), we get a palindrome (1819889181).

The spelling of 1201178160 in words is "one billion, two hundred one million, one hundred seventy-eight thousand, one hundred sixty".