121936 has 10 divisors (see below), whose sum is σ = 236282. Its totient is φ = 60960.

The previous prime is 121931. The next prime is 121937. The reversal of 121936 is 639121.

It can be written as a sum of positive squares in only one way, i.e., 118336 + 3600 = 344^2 + 60^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121931) by changing a digit.

121936 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 as a sum of consecutive naturals, namely, 3795 + ... + 3826.

2¹²¹⁹³⁶ is an apocalyptic number.

121936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121936 is a deficient number, since it is larger than the sum of its proper divisors (114346).

121936 is an equidigital number, since it uses as much as digits as its factorization.

121936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7629 (or 7623 counting only the distinct ones).

The product of its digits is 324, while the sum is 22.

The square root of 121936 is about 349.1933561796. The cubic root of 121936 is about 49.5880824646.

It can be divided in two parts, 12 and 1936, that multiplied together give a palindrome (23232).

The spelling of 121936 in words is "one hundred twenty-one thousand, nine hundred thirty-six".