1200013072000 has 64 divisors (see below), whose sum is σ = 2983532540040. Its totient is φ = 480005222400.

The previous prime is 1200013071989. The next prime is 1200013072021. The reversal of 1200013072000 is 2703100021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 368429576256 + 831583495744 = 606984^2 + 911912^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37484409 + ... + 37516408.

Almost surely, 2^{1200013072000} is an apocalyptic number.

1200013072000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200013072000 is an abundant number, since it is smaller than the sum of its proper divisors (1783519468040).

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

1200013072000 is an frugal number, since it uses more digits than its factorization.

1200013072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75000846 (or 75000824 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

Adding to 1200013072000 its reverse (2703100021), we get a palindrome (1202716172021).

The spelling of 1200013072000 in words is "one trillion, two hundred billion, thirteen million, seventy-two thousand".