12181064201900 has 144 divisors (see below), whose sum is σ = 30142884065280. Its totient is φ = 4232329920000.

The previous prime is 12181064201783. The next prime is 12181064201981. The reversal of 12181064201900 is 910246018121.

It is a super-2 number, since 2×12181064201900² (a number of 27 digits) contains 22 as substring.

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, 433040 + ... + 4954760.

Almost surely, 2^{12181064201900} is an apocalyptic number.

12181064201900 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 12181064201900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15071442032640).

12181064201900 is an abundant number, since it is smaller than the sum of its proper divisors (17961819863380).

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

12181064201900 is a wasteful number, since it uses less digits than its factorization.

12181064201900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521856 (or 4521849 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 35.

The spelling of 12181064201900 in words is "twelve trillion, one hundred eighty-one billion, sixty-four million, two hundred one thousand, nine hundred".