88121000 has 64 divisors (see below), whose sum is σ = 224976960. Its totient is φ = 32040000.

The previous prime is 88120987. The next prime is 88121021. The reversal of 88121000 is 12188.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6995 + ... + 15005.

It is an arithmetic number, because the mean of its divisors is an integer number (3515265).

Almost surely, 2^88121000 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 88121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112488480).

88121000 is an abundant number, since it is smaller than the sum of its proper divisors (136855960).

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

88121000 is a wasteful number, since it uses less digits than its factorization.

88121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8043 (or 8029 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 88121000 is about 9387.2786258851. The cubic root of 88121000 is about 444.9997895888. Note that the first 3 decimals are identical.

Adding to 88121000 its reverse (12188), we get a palindrome (88133188).

It can be divided in two parts, 88 and 121000, that multiplied together give a cube (10648000 = 220³).

The spelling of 88121000 in words is "eighty-eight million, one hundred twenty-one thousand".