1212181806528 has 560 divisors, whose sum is σ = 4498737686784. Its totient is φ = 314827223040.

The previous prime is 1212181806491. The next prime is 1212181806541. The reversal of 1212181806528 is 8256081812121.

1212181806528 is a `hidden beast` number, since 1 + 21 + 21 + 8 + 1 + 80 + 6 + 528 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 96991576 + ... + 97004072.

Almost surely, 2^{1212181806528} is an apocalyptic number.

1212181806528 is a gapful number since it is divisible by the number (18) 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 1212181806528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249368843392).

1212181806528 is an abundant number, since it is smaller than the sum of its proper divisors (3286555880256).

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

1212181806528 is an frugal number, since it uses more digits than its factorization.

1212181806528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12554 (or 12520 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The spelling of 1212181806528 in words is "one trillion, two hundred twelve billion, one hundred eighty-one million, eight hundred six thousand, five hundred twenty-eight".