1200012101010 has 160 divisors (see below), whose sum is σ = 3251999242800. Its totient is φ = 317499015168.

The previous prime is 1200012100999. The next prime is 1200012101017. The reversal of 1200012101010 is 101012100021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 666771866721 + 533240234289 = 816561^2 + 730233^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1200012100983 and 1200012101001.

It is not an unprimeable number, because it can be changed into a prime (1200012101017) 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 79 ways as a sum of consecutive naturals, for example, 117909042 + ... + 117919218.

Almost surely, 2^{1200012101010} is an apocalyptic number.

1200012101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200012101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625999621400).

1200012101010 is an abundant number, since it is smaller than the sum of its proper divisors (2051987141790).

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

1200012101010 is a wasteful number, since it uses less digits than its factorization.

1200012101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11322 (or 11313 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1200012101010 its reverse (101012100021), we get a palindrome (1301024201031).

The spelling of 1200012101010 in words is "one trillion, two hundred billion, twelve million, one hundred one thousand, ten".