1212050400 has 288 divisors, whose sum is σ = 4445715456. Its totient is φ = 284160000.

The previous prime is 1212050353. The next prime is 1212050407. The reversal of 1212050400 is 40502121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1212050400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212050407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 817660 + ... + 819140.

It is an arithmetic number, because the mean of its divisors is an integer number (15436512).

Almost surely, 2^1212050400 is an apocalyptic number.

1212050400 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 1212050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222857728).

1212050400 is an abundant number, since it is smaller than the sum of its proper divisors (3233665056).

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

1212050400 is a wasteful number, since it uses less digits than its factorization.

1212050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1212050400 is about 34814.5142146203. The cubic root of 1212050400 is about 1066.2038009108.

Adding to 1212050400 its reverse (40502121), we get a palindrome (1252552521).

The spelling of 1212050400 in words is "one billion, two hundred twelve million, fifty thousand, four hundred".