97097172120 has 1344 divisors, whose sum is σ = 401798167200. Its totient is φ = 20961607680.

The previous prime is 97097172089. The next prime is 97097172127. The reversal of 97097172120 is 2127179079.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97097172127) 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 335 ways as a sum of consecutive naturals, for example, 1591756890 + ... + 1591756950.

Almost surely, 2^97097172120 is an apocalyptic number.

97097172120 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 97097172120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200899083600).

97097172120 is an abundant number, since it is smaller than the sum of its proper divisors (304700995080).

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

97097172120 is a wasteful number, since it uses less digits than its factorization.

97097172120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The spelling of 97097172120 in words is "ninety-seven billion, ninety-seven million, one hundred seventy-two thousand, one hundred twenty".