9152120275200 has 3780 divisors, whose sum is σ = 42677457339440. Its totient is φ = 1935723847680.

The previous prime is 9152120275153. The next prime is 9152120275237. The reversal of 9152120275200 is 25720212519.

9152120275200 is a `hidden beast` number, since 9 + 1 + 5 + 2 + 120 + 2 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3780).

It is a super-2 number, since 2×9152120275200² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 212840006379 + ... + 212840006421.

Almost surely, 2^{9152120275200} is an apocalyptic number.

9152120275200 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 9152120275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21338728669720).

9152120275200 is an abundant number, since it is smaller than the sum of its proper divisors (33525337064240).

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

9152120275200 is an frugal number, since it uses more digits than its factorization.

9152120275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Adding to 9152120275200 its reverse (25720212519), we get a palindrome (9177840487719).

The spelling of 9152120275200 in words is "nine trillion, one hundred fifty-two billion, one hundred twenty million, two hundred seventy-five thousand, two hundred".