121956 has 12 divisors (see below), whose sum is σ = 284592. Its totient is φ = 40648.

The previous prime is 121951. The next prime is 121963. The reversal of 121956 is 659121.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (121951) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5070 + ... + 5093.

It is an arithmetic number, because the mean of its divisors is an integer number (23716).

2¹²¹⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

121956 is an abundant number, since it is smaller than the sum of its proper divisors (162636).

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

121956 is a wasteful number, since it uses less digits than its factorization.

121956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10170 (or 10168 counting only the distinct ones).

The product of its digits is 540, while the sum is 24.

The square root of 121956 is about 349.2219924346. The cubic root of 121956 is about 49.5907934699.

It can be divided in two parts, 1219 and 56, that added together give a triangular number (1275 = T₅₀).

The spelling of 121956 in words is "one hundred twenty-one thousand, nine hundred fifty-six".