121657950 has 288 divisors, whose sum is σ = 389975040. Its totient is φ = 27993600.

The previous prime is 121657937. The next prime is 121657979. The reversal of 121657950 is 59756121.

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 143 ways as a sum of consecutive naturals, for example, 3924435 + ... + 3924465.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 2^121657950 is an apocalyptic number.

121657950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121657950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

121657950 is an abundant number, since it is smaller than the sum of its proper divisors (268317090).

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

121657950 is a wasteful number, since it uses less digits than its factorization.

121657950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 121657950 is about 11029.8662729881. The cubic root of 121657950 is about 495.5036196682.

The spelling of 121657950 in words is "one hundred twenty-one million, six hundred fifty-seven thousand, nine hundred fifty".