2123120142 has 48 divisors (see below), whose sum is σ = 5404312368. Its totient is φ = 593879040.

The previous prime is 2123120137. The next prime is 2123120147. The reversal of 2123120142 is 2410213212.

It is a happy number.

2123120142 is a `hidden beast` number, since 212 + 312 + 0 + 142 = 666.

It is an interprime number because it is at equal distance from previous prime (2123120137) and next prime (2123120147).

It is a super-2 number, since 2×2123120142² = 9015278274732200328, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123120147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409843 + ... + 414990.

It is an arithmetic number, because the mean of its divisors is an integer number (112589841).

Almost surely, 2^2123120142 is an apocalyptic number.

2123120142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2123120142 is an abundant number, since it is smaller than the sum of its proper divisors (3281192226).

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

2123120142 is a wasteful number, since it uses less digits than its factorization.

2123120142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824865 (or 824862 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2123120142 is about 46077.3278522095. The cubic root of 2123120142 is about 1285.2615741281.

Adding to 2123120142 its reverse (2410213212), we get a palindrome (4533333354).

It can be divided in two parts, 2123 and 120142, that added together give a triangular number (122265 = T₄₉₄).

The spelling of 2123120142 in words is "two billion, one hundred twenty-three million, one hundred twenty thousand, one hundred forty-two".