80201124 has 72 divisors (see below), whose sum is σ = 215589920. Its totient is φ = 25782624.

The previous prime is 80201111. The next prime is 80201131. The reversal of 80201124 is 42110208.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 80201097 and 80201106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90387 + ... + 91269.

Almost surely, 2^80201124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80201124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107794960).

80201124 is an abundant number, since it is smaller than the sum of its proper divisors (135388796).

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

80201124 is a wasteful number, since it uses less digits than its factorization.

80201124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 80201124 is about 8955.5080257906. The cubic root of 80201124 is about 431.2477262640.

The spelling of 80201124 in words is "eighty million, two hundred one thousand, one hundred twenty-four".