600121600 has 108 divisors (see below), whose sum is σ = 1599877636. Its totient is φ = 221552640.

The previous prime is 600121567. The next prime is 600121601. The reversal of 600121600 is 6121006.

It can be written as a sum of positive squares in 6 ways, for example, as 14868736 + 585252864 = 3856^2 + 24192^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (600121601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79594 + ... + 86806.

Almost surely, 2^600121600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 600121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799938818).

600121600 is an abundant number, since it is smaller than the sum of its proper divisors (999756036).

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

600121600 is a wasteful number, since it uses less digits than its factorization.

600121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7252 (or 7233 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 600121600 is about 24497.3794516883. The cubic root of 600121600 is about 843.4896400152.

Adding to 600121600 its reverse (6121006), we get a palindrome (606242606).

The spelling of 600121600 in words is "six hundred million, one hundred twenty-one thousand, six hundred".