1218971980800 has 2772 divisors, whose sum is σ = 5566435856256. Its totient is φ = 263363788800.

The previous prime is 1218971980789. The next prime is 1218971980823. The reversal of 1218971980800 is 80891798121.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 28348185579 + ... + 28348185621.

Almost surely, 2^{1218971980800} is an apocalyptic number.

1218971980800 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 1218971980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783217928128).

1218971980800 is an abundant number, since it is smaller than the sum of its proper divisors (4347463875456).

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

1218971980800 is an equidigital number, since it uses as much as digits as its factorization.

1218971980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 54.

The spelling of 1218971980800 in words is "one trillion, two hundred eighteen billion, nine hundred seventy-one million, nine hundred eighty thousand, eight hundred".