1022142420 has 108 divisors (see below), whose sum is σ = 3357444636. Its totient is φ = 251596800.

The previous prime is 1022142409. The next prime is 1022142437. The reversal of 1022142420 is 242412201.

1022142420 is a `hidden beast` number, since 1 + 0 + 221 + 424 + 20 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 538054416 + 484088004 = 23196^2 + 22002^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1022142393 and 1022142402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13620 + ... + 47220.

Almost surely, 2^1022142420 is an apocalyptic number.

1022142420 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 1022142420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678722318).

1022142420 is an abundant number, since it is smaller than the sum of its proper divisors (2335302216).

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

1022142420 is a wasteful number, since it uses less digits than its factorization.

1022142420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33642 (or 33624 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1022142420 is about 31970.9621375397. The cubic root of 1022142420 is about 1007.3269907571.

Adding to 1022142420 its reverse (242412201), we get a palindrome (1264554621).

The spelling of 1022142420 in words is "one billion, twenty-two million, one hundred forty-two thousand, four hundred twenty".