99205121952 has 360 divisors, whose sum is σ = 311382565956. Its totient is φ = 30976598016.

The previous prime is 99205121947. The next prime is 99205121989. The reversal of 99205121952 is 25912150299.

It can be written as a sum of positive squares in 2 ways, for example, as 90165676176 + 9039445776 = 300276^2 + 95076^2 .

It is a super-2 number, since 2×99205121952² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 99205121898 and 99205121907.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 90763518 + ... + 90764610.

Almost surely, 2^99205121952 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 99205121952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155691282978).

99205121952 is an abundant number, since it is smaller than the sum of its proper divisors (212177444004).

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

99205121952 is a wasteful number, since it uses less digits than its factorization.

99205121952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 99205121952 in words is "ninety-nine billion, two hundred five million, one hundred twenty-one thousand, nine hundred fifty-two".