121896 has 24 divisors (see below), whose sum is σ = 330330. Its totient is φ = 40608.

The previous prime is 121889. The next prime is 121909. The reversal of 121896 is 698121.

It can be written as a sum of positive squares in only one way, i.e., 108900 + 12996 = 330^2 + 114^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

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

It is an unprimeable number.

121896 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 5 ways as a sum of consecutive naturals, for example, 775 + ... + 918.

2¹²¹⁸⁹⁶ is an apocalyptic number.

It is an amenable number.

121896 is an abundant number, since it is smaller than the sum of its proper divisors (208434).

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

121896 is a wasteful number, since it uses less digits than its factorization.

121896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1698 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 121896 is about 349.1360766234. The cubic root of 121896 is about 49.5826595645.

Adding to 121896 its product of digits (864), we get a triangular number (122760 = T₄₉₅).

The spelling of 121896 in words is "one hundred twenty-one thousand, eight hundred ninety-six".