121684820 has 24 divisors (see below), whose sum is σ = 260361864. Its totient is φ = 47755136.

The previous prime is 121684817. The next prime is 121684859. The reversal of 121684820 is 28486121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3701776 + 117983044 = 1924^2 + 10862^2 .

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 56339 + ... + 58458.

It is an arithmetic number, because the mean of its divisors is an integer number (10848411).

Almost surely, 2^121684820 is an apocalyptic number.

121684820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121684820 is an abundant number, since it is smaller than the sum of its proper divisors (138677044).

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

121684820 is a wasteful number, since it uses less digits than its factorization.

121684820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114859 (or 114857 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 121684820 is about 11031.0842622110. The cubic root of 121684820 is about 495.5400968080.

The spelling of 121684820 in words is "one hundred twenty-one million, six hundred eighty-four thousand, eight hundred twenty".