2124134012 has 192 divisors, whose sum is σ = 5232353280. Its totient is φ = 727833600.

The previous prime is 2124133993. The next prime is 2124134039. The reversal of 2124134012 is 2104314212.

It is a super-2 number, since 2×2124134012² = 9023890601870432288, which contains 22 as substring.

It is a congruent number.

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, 13529438 + ... + 13529594.

It is an arithmetic number, because the mean of its divisors is an integer number (27251840).

Almost surely, 2^2124134012 is an apocalyptic number.

2124134012 is a gapful number since it is divisible by the number (22) 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 2124134012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616176640).

2124134012 is an abundant number, since it is smaller than the sum of its proper divisors (3108219268).

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

2124134012 is a wasteful number, since it uses less digits than its factorization.

2124134012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2124134012 is about 46088.3283706407. The cubic root of 2124134012 is about 1285.4661285410.

Adding to 2124134012 its reverse (2104314212), we get a palindrome (4228448224).

The spelling of 2124134012 in words is "two billion, one hundred twenty-four million, one hundred thirty-four thousand, twelve".