1216273378320 has 1440 divisors, whose sum is σ = 5789618190720. Its totient is φ = 233265070080.

The previous prime is 1216273378319. The next prime is 1216273378339. The reversal of 1216273378320 is 238733726121.

It is a happy number.

1216273378320 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 273 + 378 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 136211616 + ... + 136220544.

It is an arithmetic number, because the mean of its divisors is an integer number (4020568188).

Almost surely, 2^{1216273378320} is an apocalyptic number.

1216273378320 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 1216273378320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894809095360).

1216273378320 is an abundant number, since it is smaller than the sum of its proper divisors (4573344812400).

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

1216273378320 is a wasteful number, since it uses less digits than its factorization.

1216273378320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8995 (or 8970 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 1216273378320 in words is "one trillion, two hundred sixteen billion, two hundred seventy-three million, three hundred seventy-eight thousand, three hundred twenty".