1132010010120 has 256 divisors, whose sum is σ = 3775030790400. Its totient is φ = 269260554240.

The previous prime is 1132010010083. The next prime is 1132010010221. The reversal of 1132010010120 is 210100102311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1132010010096 and 1132010010105.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 18567046 + ... + 18627914.

It is an arithmetic number, because the mean of its divisors is an integer number (14746214025).

Almost surely, 2^{1132010010120} is an apocalyptic number.

1132010010120 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 1132010010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887515395200).

1132010010120 is an abundant number, since it is smaller than the sum of its proper divisors (2643020780280).

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

1132010010120 is a wasteful number, since it uses less digits than its factorization.

1132010010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61160 (or 61156 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1132010010120 its reverse (210100102311), we get a palindrome (1342110112431).

The spelling of 1132010010120 in words is "one trillion, one hundred thirty-two billion, ten million, ten thousand, one hundred twenty".