1005023402124 has 144 divisors (see below), whose sum is σ = 2803664612448. Its totient is φ = 279187679232.

The previous prime is 1005023402093. The next prime is 1005023402147. The reversal of 1005023402124 is 4212043205001.

It is a super-2 number, since 2×1005023402124² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005023402094 and 1005023402103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31595572 + ... + 31627364.

It is an arithmetic number, because the mean of its divisors is an integer number (19469893142).

Almost surely, 2^{1005023402124} is an apocalyptic number.

1005023402124 is a gapful number since it is divisible by the number (14) 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 1005023402124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401832306224).

1005023402124 is an abundant number, since it is smaller than the sum of its proper divisors (1798641210324).

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

1005023402124 is a wasteful number, since it uses less digits than its factorization.

1005023402124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33304 (or 33295 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 1005023402124 its reverse (4212043205001), we get a palindrome (5217066607125).

The spelling of 1005023402124 in words is "one trillion, five billion, twenty-three million, four hundred two thousand, one hundred twenty-four".