1207006003200 has 432 divisors, whose sum is σ = 4017708475200. Its totient is φ = 319731793920.

The previous prime is 1207006003109. The next prime is 1207006003253. The reversal of 1207006003200 is 23006007021.

It is a happy 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, 1956249292 + ... + 1956249908.

It is an arithmetic number, because the mean of its divisors is an integer number (9300251100).

Almost surely, 2^{1207006003200} is an apocalyptic number.

1207006003200 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 1207006003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008854237600).

1207006003200 is an abundant number, since it is smaller than the sum of its proper divisors (2810702472000).

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

1207006003200 is an frugal number, since it uses more digits than its factorization.

1207006003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The spelling of 1207006003200 in words is "one trillion, two hundred seven billion, six million, three thousand, two hundred".