1218734451200 has 480 divisors, whose sum is σ = 3635217045504. Its totient is φ = 395877335040.

The previous prime is 1218734451173. The next prime is 1218734451211. The reversal of 1218734451200 is 21544378121.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220502837 + ... + 220508363.

Almost surely, 2^{1218734451200} is an apocalyptic number.

1218734451200 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 1218734451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817608522752).

1218734451200 is an abundant number, since it is smaller than the sum of its proper divisors (2416482594304).

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

1218734451200 is a wasteful number, since it uses less digits than its factorization.

1218734451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5692 (or 5671 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 1218734451200 in words is "one trillion, two hundred eighteen billion, seven hundred thirty-four million, four hundred fifty-one thousand, two hundred".