1216065904920 has 384 divisors, whose sum is σ = 4414669459200. Its totient is φ = 300070116864.

The previous prime is 1216065904919. The next prime is 1216065905011. The reversal of 1216065904920 is 294095606121.

1216065904920 is a `hidden beast` number, since 1 + 2 + 16 + 0 + 6 + 590 + 49 + 2 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7864674 + ... + 8017806.

It is an arithmetic number, because the mean of its divisors is an integer number (11496535050).

Almost surely, 2^{1216065904920} is an apocalyptic number.

1216065904920 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 1216065904920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207334729600).

1216065904920 is an abundant number, since it is smaller than the sum of its proper divisors (3198603554280).

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

1216065904920 is a wasteful number, since it uses less digits than its factorization.

1216065904920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153221 (or 153205 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1216065904920 in words is "one trillion, two hundred sixteen billion, sixty-five million, nine hundred four thousand, nine hundred twenty".