1216382836320 has 768 divisors, whose sum is σ = 4555958400000. Its totient is φ = 302225375232.

The previous prime is 1216382836271. The next prime is 1216382836363. The reversal of 1216382836320 is 236382836121.

1216382836320 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 3 + 8 + 2 + 8 + 3 + 632 + 0 = 666.

It is a super-2 number, since 2×1216382836320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1965076971 + ... + 1965077589.

It is an arithmetic number, because the mean of its divisors is an integer number (5932237500).

Almost surely, 2^{1216382836320} is an apocalyptic number.

1216382836320 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 1216382836320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277979200000).

1216382836320 is an abundant number, since it is smaller than the sum of its proper divisors (3339575563680).

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

1216382836320 is a wasteful number, since it uses less digits than its factorization.

1216382836320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1216382836320 in words is "one trillion, two hundred sixteen billion, three hundred eighty-two million, eight hundred thirty-six thousand, three hundred twenty".