1121306416128 has 154 divisors (see below), whose sum is σ = 3360741554874. Its totient is φ = 373768556544.

The previous prime is 1121306416127. The next prime is 1121306416129. The reversal of 1121306416128 is 8216146031211.

1121306416128 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 3 + 0 + 641 + 6 + 1 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1121306416127) and next prime (1121306416129).

It can be written as a sum of positive squares in only one way, i.e., 669464331264 + 451842084864 = 818208^2 + 672192^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1121306416092 and 1121306416101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121306416127) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 4551 + ... + 1497542.

Almost surely, 2^{1121306416128} is an apocalyptic number.

1121306416128 is a gapful number since it is divisible by the number (18) 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 1121306416128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680370777437).

1121306416128 is an abundant number, since it is smaller than the sum of its proper divisors (2239435138746).

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

1121306416128 is an frugal number, since it uses more digits than its factorization.

1121306416128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502131 (or 1502098 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 1121306416128 in words is "one trillion, one hundred twenty-one billion, three hundred six million, four hundred sixteen thousand, one hundred twenty-eight".