2012124400 has 240 divisors, whose sum is σ = 5879936160. Its totient is φ = 651571200.

The previous prime is 2012124353. The next prime is 2012124419. The reversal of 2012124400 is 44212102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1658194 + ... + 1659406.

It is an arithmetic number, because the mean of its divisors is an integer number (24499734).

Almost surely, 2^2012124400 is an apocalyptic number.

2012124400 is a gapful number since it is divisible by the number (20) 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 2012124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939968080).

2012124400 is an abundant number, since it is smaller than the sum of its proper divisors (3867811760).

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

2012124400 is a wasteful number, since it uses less digits than its factorization.

2012124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2012124400 is about 44856.7096430400. The cubic root of 2012124400 is about 1262.4618868996.

Adding to 2012124400 its reverse (44212102), we get a palindrome (2056336502).

It can be divided in two parts, 20121 and 24400, that added together give a square (44521 = 211²).

The spelling of 2012124400 in words is "two billion, twelve million, one hundred twenty-four thousand, four hundred".