1155582122112 has 768 divisors, whose sum is σ = 3844013322240. Its totient is φ = 345497011200.

The previous prime is 1155582122111. The next prime is 1155582122113. The reversal of 1155582122112 is 2112212855511.

1155582122112 is a `hidden beast` number, since 1 + 1 + 55 + 582 + 1 + 2 + 21 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1155582122111) and next prime (1155582122113).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1155582122111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4264140537 + ... + 4264140807.

It is an arithmetic number, because the mean of its divisors is an integer number (5005225680).

Almost surely, 2^{1155582122112} is an apocalyptic number.

1155582122112 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 1155582122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922006661120).

1155582122112 is an abundant number, since it is smaller than the sum of its proper divisors (2688431200128).

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

1155582122112 is an equidigital number, since it uses as much as digits as its factorization.

1155582122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 390 counting only the distinct ones).

The product of its digits is 16000, while the sum is 36.

Adding to 1155582122112 its reverse (2112212855511), we get a palindrome (3267794977623).

It can be divided in two parts, 115558 and 2122112, that added together give a triangular number (2237670 = T₂₁₁₅).

The spelling of 1155582122112 in words is "one trillion, one hundred fifty-five billion, five hundred eighty-two million, one hundred twenty-two thousand, one hundred twelve".