1205161200 has 240 divisors, whose sum is σ = 4323731200. Its totient is φ = 318816000.

The previous prime is 1205161187. The next prime is 1205161213. The reversal of 1205161200 is 21615021.

1205161200 is a `hidden beast` number, since 1 + 2 + 0 + 51 + 612 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1205161187) and next prime (1205161213).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1630431 + ... + 1631169.

Almost surely, 2^1205161200 is an apocalyptic number.

1205161200 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 1205161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161865600).

1205161200 is an abundant number, since it is smaller than the sum of its proper divisors (3118570000).

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

1205161200 is a wasteful number, since it uses less digits than its factorization.

1205161200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1205161200 is about 34715.4317271152. The cubic root of 1205161200 is about 1064.1798883668.

Adding to 1205161200 its reverse (21615021), we get a palindrome (1226776221).

The spelling of 1205161200 in words is "one billion, two hundred five million, one hundred sixty-one thousand, two hundred".