1218126422016 has 448 divisors, whose sum is σ = 4174755379200. Its totient is φ = 343806640128.

The previous prime is 1218126422003. The next prime is 1218126422039. The reversal of 1218126422016 is 6102246218121.

1218126422016 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 1 + 2 + 642 + 2 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128503165 + ... + 128512643.

It is an arithmetic number, because the mean of its divisors is an integer number (9318650400).

Almost surely, 2^{1218126422016} is an apocalyptic number.

1218126422016 is a gapful number since it is divisible by the number (16) 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 1218126422016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087377689600).

1218126422016 is an abundant number, since it is smaller than the sum of its proper divisors (2956628957184).

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

1218126422016 is an frugal number, since it uses more digits than its factorization.

1218126422016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9604 (or 9574 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1218126422016 in words is "one trillion, two hundred eighteen billion, one hundred twenty-six million, four hundred twenty-two thousand, sixteen".