1122165072 has 180 divisors, whose sum is σ = 3671684640. Its totient is φ = 319003776.

The previous prime is 1122165071. The next prime is 1122165103. The reversal of 1122165072 is 2705612211.

1122165072 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 1 + 650 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122165071) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2532883 + ... + 2533325.

It is an arithmetic number, because the mean of its divisors is an integer number (20398248).

Almost surely, 2^1122165072 is an apocalyptic number.

1122165072 is a gapful number since it is divisible by the number (12) 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 1122165072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835842320).

1122165072 is an abundant number, since it is smaller than the sum of its proper divisors (2549519568).

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

1122165072 is a wasteful number, since it uses less digits than its factorization.

1122165072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1122165072 is about 33498.7323939280. The cubic root of 1122165072 is about 1039.1675636625.

Adding to 1122165072 its reverse (2705612211), we get a palindrome (3827777283).

The spelling of 1122165072 in words is "one billion, one hundred twenty-two million, one hundred sixty-five thousand, seventy-two".