1024242124122 has 128 divisors (see below), whose sum is σ = 2626190968320. Its totient is φ = 289838545920.

The previous prime is 1024242124079. The next prime is 1024242124133. The reversal of 1024242124122 is 2214212424201.

1024242124122 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 242 + 1 + 2 + 412 + 2 = 666.

It is a super-3 number, since 3×1024242124122³ (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63763972 + ... + 63780032.

It is an arithmetic number, because the mean of its divisors is an integer number (20517116940).

Almost surely, 2^{1024242124122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024242124122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313095484160).

1024242124122 is an abundant number, since it is smaller than the sum of its proper divisors (1601948844198).

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

1024242124122 is a wasteful number, since it uses less digits than its factorization.

1024242124122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17685 (or 17679 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 1024242124122 its reverse (2214212424201), we get a palindrome (3238454548323).

The spelling of 1024242124122 in words is "one trillion, twenty-four billion, two hundred forty-two million, one hundred twenty-four thousand, one hundred twenty-two".