121826628 has 144 divisors (see below), whose sum is σ = 389975040. Its totient is φ = 31147200.

The previous prime is 121826623. The next prime is 121826629. The reversal of 121826628 is 826628121.

121826628 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 26 + 628 = 666.

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 = 121826592 and 121826601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121826623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196503 + ... + 197121.

It is an arithmetic number, because the mean of its divisors is an integer number (2708160).

Almost surely, 2^121826628 is an apocalyptic number.

121826628 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 121826628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

121826628 is an abundant number, since it is smaller than the sum of its proper divisors (268148412).

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

121826628 is a wasteful number, since it uses less digits than its factorization.

121826628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 713 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 121826628 is about 11037.5100452955. The cubic root of 121826628 is about 495.7325181531.

The spelling of 121826628 in words is "one hundred twenty-one million, eight hundred twenty-six thousand, six hundred twenty-eight".