1216339545960 has 1152 divisors, whose sum is σ = 5301054720000. Its totient is φ = 238516669440.

The previous prime is 1216339545947. The next prime is 1216339545973. The reversal of 1216339545960 is 695459336121.

1216339545960 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 3 + 3 + 9 + 545 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1216339545947) and next prime (1216339545973).

It is a junction number, because it is equal to n+sod(n) for n = 1216339545897 and 1216339545906.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1323546381 + ... + 1323547299.

It is an arithmetic number, because the mean of its divisors is an integer number (4601610000).

Almost surely, 2^{1216339545960} is an apocalyptic number.

1216339545960 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 1216339545960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650527360000).

1216339545960 is an abundant number, since it is smaller than the sum of its proper divisors (4084715174040).

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

1216339545960 is a wasteful number, since it uses less digits than its factorization.

1216339545960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 1216339545960 in words is "one trillion, two hundred sixteen billion, three hundred thirty-nine million, five hundred forty-five thousand, nine hundred sixty".