121040000 has 160 divisors (see below), whose sum is σ = 322631100. Its totient is φ = 45056000.

The previous prime is 121039991. The next prime is 121040021. The reversal of 121040000 is 40121.

It can be written as a sum of positive squares in 10 ways, for example, as 10705984 + 110334016 = 3272^2 + 10504^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 121040000.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 1359956 + ... + 1360044.

Almost surely, 2^121040000 is an apocalyptic number.

121040000 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 121040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161315550).

121040000 is an abundant number, since it is smaller than the sum of its proper divisors (201591100).

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

121040000 is an frugal number, since it uses more digits than its factorization.

121040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 121040000 is about 11001.8180315801. The cubic root of 121040000 is about 494.6632406612.

Adding to 121040000 its reverse (40121), we get a palindrome (121080121).

The spelling of 121040000 in words is "one hundred twenty-one million, forty thousand".