121629216 has 48 divisors (see below), whose sum is σ = 320078304. Its totient is φ = 40441344.

The previous prime is 121629199. The next prime is 121629217. The reversal of 121629216 is 612926121.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (121629217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43476 + ... + 46188.

It is an arithmetic number, because the mean of its divisors is an integer number (6668298).

Almost surely, 2^121629216 is an apocalyptic number.

121629216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121629216 is an abundant number, since it is smaller than the sum of its proper divisors (198449088).

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

121629216 is a wasteful number, since it uses less digits than its factorization.

121629216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193 (or 3185 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 121629216 is about 11028.5636417441. The cubic root of 121629216 is about 495.4646061277.

The spelling of 121629216 in words is "one hundred twenty-one million, six hundred twenty-nine thousand, two hundred sixteen".