2142142121224 has 32 divisors (see below), whose sum is σ = 4860322462080. Its totient is φ = 864057325824.

The previous prime is 2142142121221. The next prime is 2142142121239. The reversal of 2142142121224 is 4221212412412.

It is a super-2 number, since 2×2142142121224² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2142142121192 and 2142142121201.

It is not an unprimeable number, because it can be changed into a prime (2142142121221) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1125073692 + ... + 1125075595.

It is an arithmetic number, because the mean of its divisors is an integer number (151885076940).

Almost surely, 2^{2142142121224} is an apocalyptic number.

It is an amenable number.

2142142121224 is an abundant number, since it is smaller than the sum of its proper divisors (2718180340856).

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

2142142121224 is a wasteful number, since it uses less digits than its factorization.

2142142121224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250149317 (or 2250149313 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

Adding to 2142142121224 its reverse (4221212412412), we get a palindrome (6363354533636).

The spelling of 2142142121224 in words is "two trillion, one hundred forty-two billion, one hundred forty-two million, one hundred twenty-one thousand, two hundred twenty-four".