121964629 has 8 divisors (see below), whose sum is σ = 129522240. Its totient is φ = 114520896.

The previous prime is 121964611. The next prime is 121964639. The reversal of 121964629 is 926469121.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121964629 - 2¹⁵ = 121931861 is a prime.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 121964591 and 121964600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121964639) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26257 + ... + 30550.

It is an arithmetic number, because the mean of its divisors is an integer number (16190280).

Almost surely, 2^121964629 is an apocalyptic number.

121964629 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

121964629 is a deficient number, since it is larger than the sum of its proper divisors (7557611).

121964629 is a wasteful number, since it uses less digits than its factorization.

121964629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56939.

The product of its digits is 46656, while the sum is 40.

The square root of 121964629 is about 11043.7597311785. The cubic root of 121964629 is about 495.9196304158.

The spelling of 121964629 in words is "one hundred twenty-one million, nine hundred sixty-four thousand, six hundred twenty-nine".