4122812400 has 240 divisors, whose sum is σ = 15462843648. Its totient is φ = 919296000.

The previous prime is 4122812387. The next prime is 4122812417. The reversal of 4122812400 is 42182214.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338415 + ... + 350385.

Almost surely, 2^4122812400 is an apocalyptic number.

4122812400 is a gapful number since it is divisible by the number (40) 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 4122812400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7731421824).

4122812400 is an abundant number, since it is smaller than the sum of its proper divisors (11340031248).

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

4122812400 is a wasteful number, since it uses less digits than its factorization.

4122812400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12040 (or 12029 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4122812400 is about 64209.1301918972. The cubic root of 4122812400 is about 1603.4836077104.

Adding to 4122812400 its reverse (42182214), we get a palindrome (4164994614).

It can be divided in two parts, 41228 and 12400, that added together give a triangular number (53628 = T₃₂₇).

The spelling of 4122812400 in words is "four billion, one hundred twenty-two million, eight hundred twelve thousand, four hundred".