1214814121056 has 288 divisors, whose sum is σ = 3549945305088. Its totient is φ = 393912529920.

The previous prime is 1214814121039. The next prime is 1214814121067. The reversal of 1214814121056 is 6501214184121.

1214814121056 is a `hidden beast` number, since 1 + 2 + 1 + 481 + 4 + 121 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1214814121056.

It is a congruent number.

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, 1117583745 + ... + 1117584831.

It is an arithmetic number, because the mean of its divisors is an integer number (12326198976).

Almost surely, 2^{1214814121056} is an apocalyptic number.

1214814121056 is a gapful number since it is divisible by the number (16) 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 1214814121056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774972652544).

1214814121056 is an abundant number, since it is smaller than the sum of its proper divisors (2335131184032).

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

1214814121056 is a wasteful number, since it uses less digits than its factorization.

1214814121056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 1214814121056 in words is "one trillion, two hundred fourteen billion, eight hundred fourteen million, one hundred twenty-one thousand, fifty-six".