1214303185200 has 480 divisors, whose sum is σ = 4471649796096. Its totient is φ = 275928929280.

The previous prime is 1214303185171. The next prime is 1214303185211. The reversal of 1214303185200 is 25813034121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1888496079 + ... + 1888496721.

Almost surely, 2^{1214303185200} is an apocalyptic number.

1214303185200 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 1214303185200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235824898048).

1214303185200 is an abundant number, since it is smaller than the sum of its proper divisors (3257346610896).

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

1214303185200 is a wasteful number, since it uses less digits than its factorization.

1214303185200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 1214303185200 in words is "one trillion, two hundred fourteen billion, three hundred three million, one hundred eighty-five thousand, two hundred".