288121368100 has 18 divisors (see below), whose sum is σ = 625223368994. Its totient is φ = 115248547200.

The previous prime is 288121368097. The next prime is 288121368133. The reversal of 288121368100 is 1863121882.

It can be written as a sum of positive squares in 3 ways, for example, as 93582151744 + 194539216356 = 305912^2 + 441066^2 .

It is a super-2 number, since 2×288121368100² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1440606741 + ... + 1440606940.

Almost surely, 2^288121368100 is an apocalyptic number.

288121368100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288121368100 is an abundant number, since it is smaller than the sum of its proper divisors (337102000894).

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

288121368100 is a wasteful number, since it uses less digits than its factorization.

288121368100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881213695 (or 2881213688 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

Adding to 288121368100 its reverse (1863121882), we get a palindrome (289984489982).

The spelling of 288121368100 in words is "two hundred eighty-eight billion, one hundred twenty-one million, three hundred sixty-eight thousand, one hundred".