80122000 has 160 divisors (see below), whose sum is σ = 227485440. Its totient is φ = 26726400.

The previous prime is 80121991. The next prime is 80122001. The reversal of 80122000 is 22108.

80122000 = T₁₀₅ + T₁₀₆ + ... + T₇₈₃.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80122001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 825952 + ... + 826048.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 2^80122000 is an apocalyptic number.

80122000 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 80122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113742720).

80122000 is an abundant number, since it is smaller than the sum of its proper divisors (147363440).

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

80122000 is a wasteful number, since it uses less digits than its factorization.

80122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 80122000 is about 8951.0893191834. The cubic root of 80122000 is about 431.1058609517.

Adding to 80122000 its reverse (22108), we get a palindrome (80144108).

It can be divided in two parts, 801 and 22000, that added together give a square (22801 = 151²).

The spelling of 80122000 in words is "eighty million, one hundred twenty-two thousand".