121823208 has 96 divisors (see below), whose sum is σ = 358012200. Its totient is φ = 37200384.

The previous prime is 121823197. The next prime is 121823209. The reversal of 121823208 is 802328121.

It can be written as a sum of positive squares in 4 ways, for example, as 76422564 + 45400644 = 8742^2 + 6738^2 .

It is a super-2 number, since 2×121823208² = 29681788014822528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121823209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146538 + ... + 147366.

Almost surely, 2^121823208 is an apocalyptic number.

121823208 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 121823208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179006100).

121823208 is an abundant number, since it is smaller than the sum of its proper divisors (236188992).

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

121823208 is a wasteful number, since it uses less digits than its factorization.

121823208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 121823208 is about 11037.3551179619. The cubic root of 121823208 is about 495.7278792629.

The spelling of 121823208 in words is "one hundred twenty-one million, eight hundred twenty-three thousand, two hundred eight".