121961646 has 64 divisors (see below), whose sum is σ = 295200000. Its totient is φ = 37177056.

The previous prime is 121961597. The next prime is 121961669. The reversal of 121961646 is 646169121.

121961646 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 6 + 1 + 646 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 121961646.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27705 + ... + 31803.

It is an arithmetic number, because the mean of its divisors is an integer number (4612500).

Almost surely, 2^121961646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121961646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147600000).

121961646 is an abundant number, since it is smaller than the sum of its proper divisors (173238354).

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

121961646 is a wasteful number, since it uses less digits than its factorization.

121961646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4158 (or 4152 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 121961646 is about 11043.6246767083. The cubic root of 121961646 is about 495.9155873302.

The spelling of 121961646 in words is "one hundred twenty-one million, nine hundred sixty-one thousand, six hundred forty-six".