1022435043120 has 160 divisors (see below), whose sum is σ = 3523098168000. Its totient is φ = 272542703616.

The previous prime is 1022435043079. The next prime is 1022435043131. The reversal of 1022435043120 is 213405342201.

1022435043120 is a `hidden beast` number, since 1 + 0 + 224 + 3 + 5 + 0 + 431 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5509606 + ... + 5692154.

It is an arithmetic number, because the mean of its divisors is an integer number (22019363550).

Almost surely, 2^{1022435043120} is an apocalyptic number.

1022435043120 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 1022435043120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761549084000).

1022435043120 is an abundant number, since it is smaller than the sum of its proper divisors (2500663124880).

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

1022435043120 is a wasteful number, since it uses less digits than its factorization.

1022435043120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185164 (or 185152 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 1022435043120 in words is "one trillion, twenty-two billion, four hundred thirty-five million, forty-three thousand, one hundred twenty".