1122055434144 has 960 divisors, whose sum is σ = 3700272989952. Its totient is φ = 332107776000.

The previous prime is 1122055434139. The next prime is 1122055434289. The reversal of 1122055434144 is 4414345502211.

1122055434144 is a `hidden beast` number, since 1 + 1 + 2 + 20 + 554 + 3 + 41 + 44 = 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 = 1122055434099 and 1122055434108.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11109459694 + ... + 11109459794.

Almost surely, 2^{1122055434144} 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 1122055434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850136494976).

1122055434144 is an abundant number, since it is smaller than the sum of its proper divisors (2578217555808).

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

1122055434144 is a wasteful number, since it uses less digits than its factorization.

1122055434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 1122055434144 in words is "one trillion, one hundred twenty-two billion, fifty-five million, four hundred thirty-four thousand, one hundred forty-four".