121624129 has 16 divisors (see below), whose sum is σ = 138410496. Its totient is φ = 105868800.

The previous prime is 121624127. The next prime is 121624147. The reversal of 121624129 is 921426121.

It is a cyclic number.

It is not a de Polignac number, because 121624129 - 2¹ = 121624127 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121624097 and 121624106.

It is not an unprimeable number, because it can be changed into a prime (121624121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31239 + ... + 34915.

It is an arithmetic number, because the mean of its divisors is an integer number (8650656).

Almost surely, 2^121624129 is an apocalyptic number.

It is an amenable number.

121624129 is a deficient number, since it is larger than the sum of its proper divisors (16786367).

121624129 is a wasteful number, since it uses less digits than its factorization.

121624129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816.

The product of its digits is 1728, while the sum is 28.

The square root of 121624129 is about 11028.3330109314. Note that the first 3 decimals coincide. The cubic root of 121624129 is about 495.4576986218.

The spelling of 121624129 in words is "one hundred twenty-one million, six hundred twenty-four thousand, one hundred twenty-nine".