1200026016000 has 2160 divisors, whose sum is σ = 5464831532160. Its totient is φ = 255450931200.

The previous prime is 1200026015959. The next prime is 1200026016001. The reversal of 1200026016000 is 6106200021.

It is a happy number.

1200026016000 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 0 + 2 + 60 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1200026016001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20339423971 + ... + 20339424029.

Almost surely, 2^{1200026016000} is an apocalyptic number.

1200026016000 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 1200026016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732415766080).

1200026016000 is an abundant number, since it is smaller than the sum of its proper divisors (4264805516160).

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

1200026016000 is an frugal number, since it uses more digits than its factorization.

1200026016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 1200026016000 in words is "one trillion, two hundred billion, twenty-six million, sixteen thousand".