1211866200480 has 288 divisors, whose sum is σ = 4266962219520. Its totient is φ = 288682168320.

The previous prime is 1211866200407. The next prime is 1211866200509. The reversal of 1211866200480 is 840026681121.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2273766 + ... + 2755674.

It is an arithmetic number, because the mean of its divisors is an integer number (14815841040).

Almost surely, 2^{1211866200480} is an apocalyptic number.

1211866200480 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 1211866200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133481109760).

1211866200480 is an abundant number, since it is smaller than the sum of its proper divisors (3055096019040).

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

1211866200480 is a wasteful number, since it uses less digits than its factorization.

1211866200480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481984 (or 481963 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 1211866200480 in words is "one trillion, two hundred eleven billion, eight hundred sixty-six million, two hundred thousand, four hundred eighty".