1216135548072 has 40 divisors (see below), whose sum is σ = 3406305587850. Its totient is φ = 405378515808.

The previous prime is 1216135548041. The next prime is 1216135548073. The reversal of 1216135548072 is 2708455316121.

1216135548072 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 1 + 35 + 548 + 0 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 890407380996 + 325728167076 = 943614^2 + 570726^2 .

It is not an unprimeable number, because it can be changed into a prime (1216135548073) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 938375547 + ... + 938376842.

Almost surely, 2^{1216135548072} is an apocalyptic number.

1216135548072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1216135548072 is an abundant number, since it is smaller than the sum of its proper divisors (2190170039778).

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

1216135548072 is a wasteful number, since it uses less digits than its factorization.

1216135548072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876752407 (or 1876752394 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1216135548072 in words is "one trillion, two hundred sixteen billion, one hundred thirty-five million, five hundred forty-eight thousand, seventy-two".