1214227324800 has 960 divisors, whose sum is σ = 5134488231840. Its totient is φ = 276800716800.

The previous prime is 1214227324799. The next prime is 1214227324819. The reversal of 1214227324800 is 84237224121.

1214227324800 is a `hidden beast` number, since 1 + 2 + 142 + 2 + 7 + 32 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 981589782 + ... + 981591018.

Almost surely, 2^{1214227324800} is an apocalyptic number.

1214227324800 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 1214227324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567244115920).

1214227324800 is an abundant number, since it is smaller than the sum of its proper divisors (3920260907040).

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

1214227324800 is a wasteful number, since it uses less digits than its factorization.

1214227324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 1214227324800 in words is "one trillion, two hundred fourteen billion, two hundred twenty-seven million, three hundred twenty-four thousand, eight hundred".