12010816097280 has 5632 divisors, whose sum is σ = 61564537036800. Its totient is φ = 2140353331200.

The previous prime is 12010816097263. The next prime is 12010816097281. The reversal of 12010816097280 is 8279061801021.

12010816097280 is a `hidden beast` number, since 1 + 2 + 0 + 10 + 8 + 1 + 609 + 7 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5632).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12010816097281) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 164531727324 + ... + 164531727396.

Almost surely, 2^{12010816097280} is an apocalyptic number.

12010816097280 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 12010816097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30782268518400).

12010816097280 is an abundant number, since it is smaller than the sum of its proper divisors (49553720939520).

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

12010816097280 is a wasteful number, since it uses less digits than its factorization.

12010816097280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 12010816097280 in words is "twelve trillion, ten billion, eight hundred sixteen million, ninety-seven thousand, two hundred eighty".