1022121405 has 24 divisors (see below), whose sum is σ = 1774824480. Its totient is φ = 544163040.

The previous prime is 1022121391. The next prime is 1022121421. The reversal of 1022121405 is 5041212201.

It is not a de Polignac number, because 1022121405 - 2¹⁰ = 1022120381 is a prime.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5806 + ... + 45584.

It is an arithmetic number, because the mean of its divisors is an integer number (73951020).

Almost surely, 2^1022121405 is an apocalyptic number.

1022121405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1022121405 is a deficient number, since it is larger than the sum of its proper divisors (752703075).

1022121405 is a wasteful number, since it uses less digits than its factorization.

1022121405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40361 (or 40358 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1022121405 is about 31970.6334782406. The cubic root of 1022121405 is about 1007.3200872437.

Adding to 1022121405 its reverse (5041212201), we get a palindrome (6063333606).

It can be divided in two parts, 10221 and 21405, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 1022121405 in words is "one billion, twenty-two million, one hundred twenty-one thousand, four hundred five".