121205040 has 160 divisors (see below), whose sum is σ = 423401472. Its totient is φ = 28416000.

The previous prime is 121205033. The next prime is 121205041. The reversal of 121205040 is 40502121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (121205041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 81100 + ... + 82580.

Almost surely, 2^121205040 is an apocalyptic number.

121205040 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 121205040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211700736).

121205040 is an abundant number, since it is smaller than the sum of its proper divisors (302196432).

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

121205040 is a wasteful number, since it uses less digits than its factorization.

121205040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 121205040 is about 11009.3160550508. The cubic root of 121205040 is about 494.8879656663.

Adding to 121205040 its reverse (40502121), we get a palindrome (161707161).

The spelling of 121205040 in words is "one hundred twenty-one million, two hundred five thousand, forty".