2124563142132 has 36 divisors (see below), whose sum is σ = 5371018328676. Its totient is φ = 708109274880.

The previous prime is 2124563142101. The next prime is 2124563142137. The reversal of 2124563142132 is 2312413654212.

It is a happy number.

2124563142132 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 5 + 631 + 4 + 2 + 13 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1868158641636 + 256404500496 = 1366806^2 + 506364^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124563142137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2938303 + ... + 3589254.

Almost surely, 2^{2124563142132} is an apocalyptic number.

It is an amenable number.

2124563142132 is an abundant number, since it is smaller than the sum of its proper divisors (3246455186544).

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

2124563142132 is a wasteful number, since it uses less digits than its factorization.

2124563142132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6536608 (or 6536603 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 2124563142132 its reverse (2312413654212), we get a palindrome (4436976796344).

The spelling of 2124563142132 in words is "two trillion, one hundred twenty-four billion, five hundred sixty-three million, one hundred forty-two thousand, one hundred thirty-two".