120010001000 has 64 divisors (see below), whose sum is σ = 281546226000. Its totient is φ = 47880441600.

The previous prime is 120010000963. The next prime is 120010001003. The reversal of 120010001000 is 100010021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17677829764 + 102332171236 = 132958^2 + 319894^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (120010001003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234746 + ... + 543254.

Almost surely, 2^120010001000 is an apocalyptic number.

120010001000 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 120010001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140773113000).

120010001000 is an abundant number, since it is smaller than the sum of its proper divisors (161536225000).

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

120010001000 is a wasteful number, since it uses less digits than its factorization.

120010001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308919 (or 308905 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 120010001000 its reverse (100010021), we get a palindrome (120110011021).

The spelling of 120010001000 in words is "one hundred twenty billion, ten million, one thousand".