1201000032 has 144 divisors (see below), whose sum is σ = 3623256000. Its totient is φ = 376296192.

The previous prime is 1201000027. The next prime is 1201000043. The reversal of 1201000032 is 2300001021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1200999978 and 1201000023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 759819 + ... + 761397.

It is an arithmetic number, because the mean of its divisors is an integer number (25161500).

Almost surely, 2^1201000032 is an apocalyptic number.

1201000032 is a gapful number since it is divisible by the number (12) 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 1201000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811628000).

1201000032 is an abundant number, since it is smaller than the sum of its proper divisors (2422255968).

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

1201000032 is a wasteful number, since it uses less digits than its factorization.

1201000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1201000032 is about 34655.4473640148. The cubic root of 1201000032 is about 1062.9536796018.

Adding to 1201000032 its reverse (2300001021), we get a palindrome (3501001053).

The spelling of 1201000032 in words is "one billion, two hundred one million, thirty-two", and thus it is an aban number.