121964850 has 144 divisors (see below), whose sum is σ = 386880000. Its totient is φ = 26956800.

The previous prime is 121964833. The next prime is 121964863. The reversal of 121964850 is 58469121.

121964850 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 648 + 5 + 0 = 666.

It is a zygodrome in base 3.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 97026 + ... + 98274.

Almost surely, 2^121964850 is an apocalyptic number.

121964850 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 121964850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193440000).

121964850 is an abundant number, since it is smaller than the sum of its proper divisors (264915150).

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

121964850 is a wasteful number, since it uses less digits than its factorization.

121964850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 121964850 is about 11043.7697368245. The cubic root of 121964850 is about 495.9199299512.

The spelling of 121964850 in words is "one hundred twenty-one million, nine hundred sixty-four thousand, eight hundred fifty".