1122120623520 has 288 divisors, whose sum is σ = 4125086037072. Its totient is φ = 276127727616.

The previous prime is 1122120623513. The next prime is 1122120623527. The reversal of 1122120623520 is 253260212211.

1122120623520 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 12 + 0 + 623 + 5 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1122120623513) and next prime (1122120623527).

It can be written as a sum of positive squares in 8 ways, for example, as 35264332944 + 1086856290576 = 187788^2 + 1042524^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1122120623527) 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 47 ways as a sum of consecutive naturals, for example, 76239202 + ... + 76253918.

Almost surely, 2^{1122120623520} is an apocalyptic number.

1122120623520 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 1122120623520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062543018536).

1122120623520 is an abundant number, since it is smaller than the sum of its proper divisors (3002965413552).

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

1122120623520 is a wasteful number, since it uses less digits than its factorization.

1122120623520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18824 (or 18813 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1122120623520 its reverse (253260212211), we get a palindrome (1375380835731).

The spelling of 1122120623520 in words is "one trillion, one hundred twenty-two billion, one hundred twenty million, six hundred twenty-three thousand, five hundred twenty".