1206563467200 has 2016 divisors, whose sum is σ = 5378287196160. Its totient is φ = 230798131200.

The previous prime is 1206563467189. The next prime is 1206563467237. The reversal of 1206563467200 is 27643656021.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2799450985 + ... + 2799451415.

Almost surely, 2^{1206563467200} is an apocalyptic number.

1206563467200 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 1206563467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689143598080).

1206563467200 is an abundant number, since it is smaller than the sum of its proper divisors (4171723728960).

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

1206563467200 is a wasteful number, since it uses less digits than its factorization.

1206563467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 1206563467200 in words is "one trillion, two hundred six billion, five hundred sixty-three million, four hundred sixty-seven thousand, two hundred".