121034000 has 80 divisors (see below), whose sum is σ = 297027120. Its totient is φ = 47692800.

The previous prime is 121033987. The next prime is 121034051. The reversal of 121034000 is 430121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 31315216 + 89718784 = 5596^2 + 9472^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 145586 + ... + 146414.

It is an arithmetic number, because the mean of its divisors is an integer number (3712839).

Almost surely, 2^121034000 is an apocalyptic number.

121034000 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 121034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148513560).

121034000 is an abundant number, since it is smaller than the sum of its proper divisors (175993120).

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

121034000 is an equidigital number, since it uses as much as digits as its factorization.

121034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 121034000 is about 11001.5453459957. The cubic root of 121034000 is about 494.6550669762.

Adding to 121034000 its reverse (430121), we get a palindrome (121464121).

The spelling of 121034000 in words is "one hundred twenty-one million, thirty-four thousand".