10812372480000 has 3120 divisors, whose sum is σ = 50073574526976. Its totient is φ = 2269347840000.

The previous prime is 10812372479981. The next prime is 10812372480001. The reversal of 10812372480000 is 8427321801.

10812372480000 is a `hidden beast` number, since 10 + 81 + 23 + 72 + 480 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3120).

It is a super-2 number, since 2×10812372480000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10812372480001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 56609279905 + ... + 56609280095.

Almost surely, 2^{10812372480000} is an apocalyptic number.

10812372480000 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 10812372480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25036787263488).

10812372480000 is an abundant number, since it is smaller than the sum of its proper divisors (39261202046976).

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

10812372480000 is an frugal number, since it uses more digits than its factorization.

10812372480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 10812372480000 in words is "ten trillion, eight hundred twelve billion, three hundred seventy-two million, four hundred eighty thousand".