121362 has 16 divisors (see below), whose sum is σ = 246240. Its totient is φ = 39872.

The previous prime is 121357. The next prime is 121367. The reversal of 121362 is 263121.

It is an interprime number because it is at equal distance from previous prime (121357) and next prime (121367).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 121362.

It is not an unprimeable number, because it can be changed into a prime (121367) by changing a digit.

121362 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 7 ways as a sum of consecutive naturals, for example, 589 + ... + 767.

It is an arithmetic number, because the mean of its divisors is an integer number (15390).

2¹²¹³⁶² is an apocalyptic number.

121362 is an abundant number, since it is smaller than the sum of its proper divisors (124878).

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

121362 is a wasteful number, since it uses less digits than its factorization.

121362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297.

The product of its digits is 72, while the sum is 15.

The square root of 121362 is about 348.3704924359. The cubic root of 121362 is about 49.5101499439.

Adding to 121362 its reverse (263121), we get a palindrome (384483).

It can be divided in two parts, 1213 and 62, that added together give a triangular number (1275 = T₅₀).

The spelling of 121362 in words is "one hundred twenty-one thousand, three hundred sixty-two".