1120139190144 has 512 divisors, whose sum is σ = 3653052480000. Its totient is φ = 335721480192.

The previous prime is 1120139190097. The next prime is 1120139190197. The reversal of 1120139190144 is 4410919310211.

1120139190144 is a `hidden beast` number, since 1 + 120 + 1 + 391 + 9 + 0 + 144 = 666.

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 = 1120139190099 and 1120139190108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1099252867 + ... + 1099253885.

It is an arithmetic number, because the mean of its divisors is an integer number (7134868125).

Almost surely, 2^{1120139190144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120139190144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826526240000).

1120139190144 is an abundant number, since it is smaller than the sum of its proper divisors (2532913289856).

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

1120139190144 is a wasteful number, since it uses less digits than its factorization.

1120139190144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 1120139190144 in words is "one trillion, one hundred twenty billion, one hundred thirty-nine million, one hundred ninety thousand, one hundred forty-four".