1216391230080 has 640 divisors, whose sum is σ = 4719797525520. Its totient is φ = 296751071232.

The previous prime is 1216391230009. The next prime is 1216391230127. The reversal of 1216391230080 is 800321936121.

1216391230080 is a `hidden beast` number, since 1 + 2 + 1 + 639 + 12 + 3 + 0 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 121488496704 + 1094902733376 = 348552^2 + 1046376^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 76144974 + ... + 76160946.

Almost surely, 2^{1216391230080} is an apocalyptic number.

1216391230080 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 1216391230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359898762760).

1216391230080 is an abundant number, since it is smaller than the sum of its proper divisors (3503406295440).

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

1216391230080 is a wasteful number, since it uses less digits than its factorization.

1216391230080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16130 (or 16109 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 1216391230080 in words is "one trillion, two hundred sixteen billion, three hundred ninety-one million, two hundred thirty thousand, eighty".