121806828 has 180 divisors, whose sum is σ = 378507360. Its totient is φ = 33929280.

The previous prime is 121806823. The next prime is 121806829. The reversal of 121806828 is 828608121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121806792 and 121806801.

It is not an unprimeable number, because it can be changed into a prime (121806823) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 509533 + ... + 509771.

Almost surely, 2^121806828 is an apocalyptic number.

121806828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121806828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189253680).

121806828 is an abundant number, since it is smaller than the sum of its proper divisors (256700532).

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

121806828 is a wasteful number, since it uses less digits than its factorization.

121806828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 121806828 is about 11036.6130674225. The cubic root of 121806828 is about 495.7056602162.

The spelling of 121806828 in words is "one hundred twenty-one million, eight hundred six thousand, eight hundred twenty-eight".