121633820 has 96 divisors (see below), whose sum is σ = 335301120. Its totient is φ = 35907840.

The previous prime is 121633783. The next prime is 121633823. The reversal of 121633820 is 28336121.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 121633820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121633823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27182 + ... + 31338.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 2^121633820 is an apocalyptic number.

121633820 is a gapful number since it is divisible by the number (10) 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 121633820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560).

121633820 is an abundant number, since it is smaller than the sum of its proper divisors (213667300).

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

121633820 is a wasteful number, since it uses less digits than its factorization.

121633820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4203 (or 4201 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 121633820 is about 11028.7723704862. The cubic root of 121633820 is about 495.4708576144.

Adding to 121633820 its reverse (28336121), we get a palindrome (149969941).

The spelling of 121633820 in words is "one hundred twenty-one million, six hundred thirty-three thousand, eight hundred twenty".