12291022206080 has 256 divisors, whose sum is σ = 31911627996000. Its totient is φ = 4509401874432.

The previous prime is 12291022206011. The next prime is 12291022206103. The reversal of 12291022206080 is 8060222019221.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 5394768056896 + 6896254149184 = 2322664^2 + 2626072^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12291022206080.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85847834 + ... + 85990886.

Almost surely, 2^{12291022206080} is an apocalyptic number.

12291022206080 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 12291022206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15955813998000).

12291022206080 is an abundant number, since it is smaller than the sum of its proper divisors (19620605789920).

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

12291022206080 is a wasteful number, since it uses less digits than its factorization.

12291022206080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143291 (or 143279 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 12291022206080 in words is "twelve trillion, two hundred ninety-one billion, twenty-two million, two hundred six thousand, eighty".