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121801 = 3492

121801 has 3 divisors (see below), whose sum is σ = 122151. Its totient is φ = 121452.

The previous prime is 121789. The next prime is 121843. The reversal of 121801 is 108121.

Multipling 121801 by its product of nonzero digits (16), we get a square (1948816 = 13962).

Adding to 121801 its reverse (108121), we get a palindrome (229922).

It can be divided in two parts, 12 and 1801, that multiplied together give a palindrome (21612).

121801 = T348 + T349.

The square root of 121801 is 349.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 108121 = 138317.

It can be written as a sum of positive squares in only one way, i.e., 89401 + 32400 = 299^2 + 180^2 .

It is a de Polignac number, because none of the positive numbers 2k-121801 is a prime.

It is a Duffinian number.

121801 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (121001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 175 + ... + 523.

It is an arithmetic number, because the mean of its divisors is an integer number (40717).

2121801 is an apocalyptic number.

121801 is the 349-th square number.

121801 is the 175-th centered octagonal number.

It is an amenable number.

121801 is a deficient number, since it is larger than the sum of its proper divisors (350).

121801 is an frugal number, since it uses more digits than its factorization.

121801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The cubic root of 121801 is about 49.5697754204.

The spelling of 121801 in words is "one hundred twenty-one thousand, eight hundred one".

Divisors: 1 349 121801