1216742452800 has 672 divisors, whose sum is σ = 4636775608320. Its totient is φ = 273593548800.

The previous prime is 1216742452789. The next prime is 1216742452801. The reversal of 1216742452800 is 82542476121.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1216742452801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 921076140 + ... + 921077460.

Almost surely, 2^{1216742452800} is an apocalyptic number.

1216742452800 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 1216742452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318387804160).

1216742452800 is an abundant number, since it is smaller than the sum of its proper divisors (3420033155520).

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

1216742452800 is a wasteful number, since it uses less digits than its factorization.

1216742452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 1216742452800 in words is "one trillion, two hundred sixteen billion, seven hundred forty-two million, four hundred fifty-two thousand, eight hundred".