1201105000 has 80 divisors (see below), whose sum is σ = 2829172500. Its totient is φ = 477888000.

The previous prime is 1201104991. The next prime is 1201105033. The reversal of 1201105000 is 5011021.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 54199044 + 1146905956 = 7362^2 + 33866^2 .

It is a super-3 number, since 3×1201105000³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1144476 + ... + 1145524.

Almost surely, 2^1201105000 is an apocalyptic number.

1201105000 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 1201105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414586250).

1201105000 is an abundant number, since it is smaller than the sum of its proper divisors (1628067500).

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

1201105000 is a wasteful number, since it uses less digits than its factorization.

1201105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 1201105000 is about 34656.9617825914. The cubic root of 1201105000 is about 1062.9846462597.

Adding to 1201105000 its reverse (5011021), we get a palindrome (1206116021).

The spelling of 1201105000 in words is "one billion, two hundred one million, one hundred five thousand".