1216005832080 has 200 divisors, whose sum is σ = 4548243211512. Its totient is φ = 299324491776.

The previous prime is 1216005832079. The next prime is 1216005832091. The reversal of 1216005832080 is 802385006121.

It is a happy number.

1216005832080 is a `hidden beast` number, since 1 + 21 + 600 + 5 + 8 + 3 + 20 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13246168464 + 1202759663616 = 115092^2 + 1096704^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7133269 + ... + 7301748.

Almost surely, 2^{1216005832080} is an apocalyptic number.

1216005832080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1216005832080 is an abundant number, since it is smaller than the sum of its proper divisors (3332237379432).

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

1216005832080 is a wasteful number, since it uses less digits than its factorization.

1216005832080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14435055 (or 14435040 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1216005832080 in words is "one trillion, two hundred sixteen billion, five million, eight hundred thirty-two thousand, eighty".