1022142120305 has 16 divisors (see below), whose sum is σ = 1245707815440. Its totient is φ = 805051084032.

The previous prime is 1022142120287. The next prime is 1022142120323. The reversal of 1022142120305 is 5030212412201.

It is an interprime number because it is at equal distance from previous prime (1022142120287) and next prime (1022142120323).

It can be written as a sum of positive squares in 8 ways, for example, as 47927717776 + 974214402529 = 218924^2 + 987023^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022142120305 - 2⁸ = 1022142120049 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5887334 + ... + 6058463.

It is an arithmetic number, because the mean of its divisors is an integer number (77856738465).

Almost surely, 2^{1022142120305} is an apocalyptic number.

It is an amenable number.

1022142120305 is a deficient number, since it is larger than the sum of its proper divisors (223565695135).

1022142120305 is a wasteful number, since it uses less digits than its factorization.

1022142120305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11946068.

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 1022142120305 its reverse (5030212412201), we get a palindrome (6052354532506).

The spelling of 1022142120305 in words is "one trillion, twenty-two billion, one hundred forty-two million, one hundred twenty thousand, three hundred five".