3135122400 has 288 divisors, whose sum is σ = 10572823296. Its totient is φ = 806400000.

The previous prime is 3135122383. The next prime is 3135122423. The reversal of 3135122400 is 42215313.

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, 14858295 + ... + 14858505.

It is an arithmetic number, because the mean of its divisors is an integer number (36711192).

Almost surely, 2^3135122400 is an apocalyptic number.

3135122400 is a gapful number since it is divisible by the number (30) 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 3135122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5286411648).

3135122400 is an abundant number, since it is smaller than the sum of its proper divisors (7437700896).

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

3135122400 is a wasteful number, since it uses less digits than its factorization.

3135122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3135122400 is about 55992.1637374374. The cubic root of 3135122400 is about 1463.5857318704.

Adding to 3135122400 its reverse (42215313), we get a palindrome (3177337713).

The spelling of 3135122400 in words is "three billion, one hundred thirty-five million, one hundred twenty-two thousand, four hundred".