1212422400 has 648 divisors, whose sum is σ = 5166447104. Its totient is φ = 265420800.

The previous prime is 1212422389. The next prime is 1212422411. The reversal of 1212422400 is 42242121.

1212422400 is a `hidden beast` number, since 1 + 21 + 242 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (1212422389) and next prime (1212422411).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12499152 + ... + 12499248.

Almost surely, 2^1212422400 is an apocalyptic number.

1212422400 is a gapful number since it is divisible by the number (10) 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 1212422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583223552).

1212422400 is an abundant number, since it is smaller than the sum of its proper divisors (3954024704).

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

1212422400 is a wasteful number, since it uses less digits than its factorization.

1212422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1212422400 is about 34819.8564040692. The cubic root of 1212422400 is about 1066.3128687744.

Adding to 1212422400 its reverse (42242121), we get a palindrome (1254664521).

The spelling of 1212422400 in words is "one billion, two hundred twelve million, four hundred twenty-two thousand, four hundred".