121775940 has 384 divisors, whose sum is σ = 474163200. Its totient is φ = 25505280.

The previous prime is 121775923. The next prime is 121775971. The reversal of 121775940 is 49577121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121775895 and 121775904.

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 127 ways as a sum of consecutive naturals, for example, 1467139 + ... + 1467221.

It is an arithmetic number, because the mean of its divisors is an integer number (1234800).

Almost surely, 2^121775940 is an apocalyptic number.

121775940 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 121775940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237081600).

121775940 is an abundant number, since it is smaller than the sum of its proper divisors (352387260).

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

121775940 is a wasteful number, since it uses less digits than its factorization.

121775940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 121775940 is about 11035.2136363552. The cubic root of 121775940 is about 495.6637560223.

The spelling of 121775940 in words is "one hundred twenty-one million, seven hundred seventy-five thousand, nine hundred forty".