11812080000 has 640 divisors, whose sum is σ = 45885312000. Its totient is φ = 2635776000.

The previous prime is 11812079989. The next prime is 11812080001. The reversal of 11812080000 is 8021811.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11812080001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 132719956 + ... + 132720044.

It is an arithmetic number, because the mean of its divisors is an integer number (71695800).

Almost surely, 2^11812080000 is an apocalyptic number.

11812080000 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 11812080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22942656000).

11812080000 is an abundant number, since it is smaller than the sum of its proper divisors (34073232000).

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

11812080000 is an frugal number, since it uses more digits than its factorization.

11812080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The spelling of 11812080000 in words is "eleven billion, eight hundred twelve million, eighty thousand".