121616 has 20 divisors (see below), whose sum is σ = 257424. Its totient is φ = 55200.

The previous prime is 121609. The next prime is 121621. The reversal of 121616 is 616121.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 121594 and 121603.

It is an unprimeable number.

121616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 170 + ... + 521.

2¹²¹⁶¹⁶ is an apocalyptic number.

121616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121616 is an abundant number, since it is smaller than the sum of its proper divisors (135808).

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

121616 is a wasteful number, since it uses less digits than its factorization.

121616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 704 counting only the distinct ones).

The product of its digits is 72, while the sum is 17.

The square root of 121616 is about 348.7348563020. The cubic root of 121616 is about 49.5446660063.

Adding to 121616 its reverse (616121), we get a palindrome (737737).

It can be divided in two parts, 12161 and 6, that added together give a cube (12167 = 23³).

The spelling of 121616 in words is "one hundred twenty-one thousand, six hundred sixteen".