1172166120 has 128 divisors (see below), whose sum is σ = 3914784000. Its totient is φ = 311973120.

The previous prime is 1172166101. The next prime is 1172166143. The reversal of 1172166120 is 216612711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 991930 + ... + 993110.

It is an arithmetic number, because the mean of its divisors is an integer number (30584250).

Almost surely, 2^1172166120 is an apocalyptic number.

1172166120 is a gapful number since it is divisible by the number (10) 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 1172166120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957392000).

1172166120 is an abundant number, since it is smaller than the sum of its proper divisors (2742617880).

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

1172166120 is a wasteful number, since it uses less digits than its factorization.

1172166120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1172166120 is about 34236.9116597861. The cubic root of 1172166120 is about 1054.3781275517.

Adding to 1172166120 its reverse (216612711), we get a palindrome (1388778831).

It can be divided in two parts, 11721 and 66120, that added together give a square (77841 = 279²).

The spelling of 1172166120 in words is "one billion, one hundred seventy-two million, one hundred sixty-six thousand, one hundred twenty".