1121562286272 has 224 divisors, whose sum is σ = 3491900966400. Its totient is φ = 352261426176.

The previous prime is 1121562286267. The next prime is 1121562286277. The reversal of 1121562286272 is 2726822651211.

1121562286272 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 562 + 2 + 86 + 2 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1121562286267) and next prime (1121562286277).

It is not an unprimeable number, because it can be changed into a prime (1121562286277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2452254 + ... + 2873442.

It is an arithmetic number, because the mean of its divisors is an integer number (15588843600).

Almost surely, 2^{1121562286272} is an apocalyptic number.

1121562286272 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 1121562286272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745950483200).

1121562286272 is an abundant number, since it is smaller than the sum of its proper divisors (2370338680128).

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

1121562286272 is a wasteful number, since it uses less digits than its factorization.

1121562286272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421300 (or 421284 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 1121562286272 in words is "one trillion, one hundred twenty-one billion, five hundred sixty-two million, two hundred eighty-six thousand, two hundred seventy-two".