1206103906800 has 360 divisors, whose sum is σ = 4509419909904. Its totient is φ = 296759255040.

The previous prime is 1206103906757. The next prime is 1206103906801. The reversal of 1206103906800 is 86093016021.

1206103906800 is a `hidden beast` number, since 1 + 2 + 0 + 610 + 39 + 0 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1206103906801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 154763704 + ... + 154771496.

Almost surely, 2^{1206103906800} is an apocalyptic number.

1206103906800 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 1206103906800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254709954952).

1206103906800 is an abundant number, since it is smaller than the sum of its proper divisors (3303316003104).

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

1206103906800 is a wasteful number, since it uses less digits than its factorization.

1206103906800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11137 (or 11123 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 1206103906800 in words is "one trillion, two hundred six billion, one hundred three million, nine hundred six thousand, eight hundred".