9275121900 has 324 divisors, whose sum is σ = 32578758576. Its totient is φ = 2204716800.

The previous prime is 9275121899. The next prime is 9275121901. The reversal of 9275121900 is 91215729.

It is an interprime number because it is at equal distance from previous prime (9275121899) and next prime (9275121901).

It is a super-2 number, since 2×9275121900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9275121901) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5770897 + ... + 5772503.

It is an arithmetic number, because the mean of its divisors is an integer number (100551724).

Almost surely, 2^9275121900 is an apocalyptic number.

9275121900 is a gapful number since it is divisible by the number (90) 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 9275121900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16289379288).

9275121900 is an abundant number, since it is smaller than the sum of its proper divisors (23303636676).

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

9275121900 is a wasteful number, since it uses less digits than its factorization.

9275121900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 9275121900 is about 96307.4342924782. The cubic root of 9275121900 is about 2101.0668728658.

The spelling of 9275121900 in words is "nine billion, two hundred seventy-five million, one hundred twenty-one thousand, nine hundred".