97226277120 has 1728 divisors, whose sum is σ = 440797593600. Its totient is φ = 19269550080.

The previous prime is 97226277119. The next prime is 97226277223. The reversal of 97226277120 is 2177262279.

97226277120 is a `hidden beast` number, since 9 + 7 + 2 + 2 + 627 + 7 + 12 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1092430036 + ... + 1092430124.

It is an arithmetic number, because the mean of its divisors is an integer number (255091200).

Almost surely, 2^97226277120 is an apocalyptic number.

97226277120 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 97226277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220398796800).

97226277120 is an abundant number, since it is smaller than the sum of its proper divisors (343571316480).

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

97226277120 is a wasteful number, since it uses less digits than its factorization.

97226277120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 97226277120 in words is "ninety-seven billion, two hundred twenty-six million, two hundred seventy-seven thousand, one hundred twenty".