1206828678300 has 432 divisors, whose sum is σ = 4260192330240. Its totient is φ = 262499381760.

The previous prime is 1206828678247. The next prime is 1206828678317. The reversal of 1206828678300 is 38768286021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66596641 + ... + 66614759.

It is an arithmetic number, because the mean of its divisors is an integer number (9861556320).

Almost surely, 2^{1206828678300} is an apocalyptic number.

1206828678300 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 1206828678300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130096165120).

1206828678300 is an abundant number, since it is smaller than the sum of its proper divisors (3053363651940).

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

1206828678300 is a wasteful number, since it uses less digits than its factorization.

1206828678300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18370 (or 18356 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 1206828678300 in words is "one trillion, two hundred six billion, eight hundred twenty-eight million, six hundred seventy-eight thousand, three hundred".