1133122312080 has 320 divisors, whose sum is σ = 4260841574400. Its totient is φ = 274499642880.

The previous prime is 1133122312079. The next prime is 1133122312087. The reversal of 1133122312080 is 802132213311.

1133122312080 is a `hidden beast` number, since 1 + 1 + 331 + 2 + 231 + 20 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1133122312087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34649497 + ... + 34682183.

It is an arithmetic number, because the mean of its divisors is an integer number (13315129920).

Almost surely, 2^{1133122312080} is an apocalyptic number.

1133122312080 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 1133122312080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130420787200).

1133122312080 is an abundant number, since it is smaller than the sum of its proper divisors (3127719262320).

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

1133122312080 is a wasteful number, since it uses less digits than its factorization.

1133122312080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34179 (or 34167 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 1133122312080 its reverse (802132213311), we get a palindrome (1935254525391).

The spelling of 1133122312080 in words is "one trillion, one hundred thirty-three billion, one hundred twenty-two million, three hundred twelve thousand, eighty".