11812416000 has 1280 divisors, whose sum is σ = 52947468288. Its totient is φ = 2260992000.

The previous prime is 11812415999. The next prime is 11812416023. The reversal of 11812416000 is 61421811.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 251327977 + ... + 251328023.

Almost surely, 2^11812416000 is an apocalyptic number.

11812416000 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 11812416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26473734144).

11812416000 is an abundant number, since it is smaller than the sum of its proper divisors (41135052288).

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

11812416000 is a wasteful number, since it uses less digits than its factorization.

11812416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 11812416000 its reverse (61421811), we get a palindrome (11873837811).

The spelling of 11812416000 in words is "eleven billion, eight hundred twelve million, four hundred sixteen thousand".