9120201412608 has 2184 divisors, whose sum is σ = 33972942322944. Its totient is φ = 2422230220800.

The previous prime is 9120201412603. The next prime is 9120201412631. The reversal of 9120201412608 is 8062141020219.

9120201412608 is a `hidden beast` number, since 9 + 1 + 2 + 0 + 2 + 0 + 1 + 41 + 2 + 608 = 666.

It is a super-2 number, since 2×9120201412608² (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 not an unprimeable number, because it can be changed into a prime (9120201412603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 172079271910 + ... + 172079271962.

Almost surely, 2^{9120201412608} 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 9120201412608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16986471161472).

9120201412608 is an abundant number, since it is smaller than the sum of its proper divisors (24852740910336).

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

9120201412608 is a wasteful number, since it uses less digits than its factorization.

9120201412608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 9120201412608 in words is "nine trillion, one hundred twenty billion, two hundred one million, four hundred twelve thousand, six hundred eight".