1218561201936 has 480 divisors, whose sum is σ = 3862361543040. Its totient is φ = 369688707072.

The previous prime is 1218561201863. The next prime is 1218561202013. The reversal of 1218561201936 is 6391021658121.

It is a happy number.

1218561201936 is a `hidden beast` number, since 1 + 2 + 18 + 5 + 612 + 0 + 19 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1218561201891 and 1218561201900.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1584604560 + ... + 1584605328.

It is an arithmetic number, because the mean of its divisors is an integer number (8046586548).

Almost surely, 2^{1218561201936} is an apocalyptic number.

1218561201936 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 1218561201936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931180771520).

1218561201936 is an abundant number, since it is smaller than the sum of its proper divisors (2643800341104).

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

1218561201936 is a wasteful number, since it uses less digits than its factorization.

1218561201936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1218561201936 in words is "one trillion, two hundred eighteen billion, five hundred sixty-one million, two hundred one thousand, nine hundred thirty-six".