1216851174000 has 1280 divisors, whose sum is σ = 5503253483520. Its totient is φ = 252782208000.

The previous prime is 1216851173977. The next prime is 1216851174013. The reversal of 1216851174000 is 4711586121.

1216851174000 is a `hidden beast` number, since 12 + 1 + 68 + 511 + 74 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 336796194 + ... + 336799806.

It is an arithmetic number, because the mean of its divisors is an integer number (4299416784).

Almost surely, 2^{1216851174000} is an apocalyptic number.

1216851174000 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 1216851174000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751626741760).

1216851174000 is an abundant number, since it is smaller than the sum of its proper divisors (4286402309520).

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

1216851174000 is an equidigital number, since it uses as much as digits as its factorization.

1216851174000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 1216851174000 in words is "one trillion, two hundred sixteen billion, eight hundred fifty-one million, one hundred seventy-four thousand".