121953 has 16 divisors (see below), whose sum is σ = 181440. Its totient is φ = 72384.

The previous prime is 121951. The next prime is 121963. The reversal of 121953 is 359121.

It is not a de Polignac number, because 121953 - 2¹ = 121951 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 2038 + ... + 2096.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2¹²¹⁹⁵³ is an apocalyptic number.

121953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121953 is a deficient number, since it is larger than the sum of its proper divisors (59487).

121953 is a wasteful number, since it uses less digits than its factorization.

121953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128.

The product of its digits is 270, while the sum is 21.

The square root of 121953 is about 349.2176971461. The cubic root of 121953 is about 49.5903868380.

It can be divided in two parts, 12195 and 3, that multiplied together give a triangular number (36585 = T₂₇₀).

The spelling of 121953 in words is "one hundred twenty-one thousand, nine hundred fifty-three".