806229120000 has 440 divisors, whose sum is σ = 2802162470976. Its totient is φ = 205635584000.

The previous prime is 806229119989. The next prime is 806229120041. The reversal of 806229120000 is 21922608.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 806229120000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44150872 + ... + 44169128.

Almost surely, 2^806229120000 is an apocalyptic number.

806229120000 is a gapful number since it is divisible by the number (80) 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 806229120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401081235488).

806229120000 is an abundant number, since it is smaller than the sum of its proper divisors (1995933350976).

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

806229120000 is a wasteful number, since it uses less digits than its factorization.

806229120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18323 (or 18290 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 806229120000 in words is "eight hundred six billion, two hundred twenty-nine million, one hundred twenty thousand".