1216132481088 has 672 divisors, whose sum is σ = 4222286525184. Its totient is φ = 339900530688.

The previous prime is 1216132481063. The next prime is 1216132481119. The reversal of 1216132481088 is 8801842316121.

1216132481088 is a `hidden beast` number, since 1 + 2 + 1 + 61 + 32 + 481 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1088748306 + ... + 1088749422.

It is an arithmetic number, because the mean of its divisors is an integer number (6283164472).

Almost surely, 2^{1216132481088} is an apocalyptic number.

1216132481088 is a gapful number since it is divisible by the number (18) 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 1216132481088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111143262592).

1216132481088 is an abundant number, since it is smaller than the sum of its proper divisors (3006154044096).

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

1216132481088 is a wasteful number, since it uses less digits than its factorization.

1216132481088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 1216132481088 in words is "one trillion, two hundred sixteen billion, one hundred thirty-two million, four hundred eighty-one thousand, eighty-eight".