2251212000 has 192 divisors, whose sum is σ = 7630459200. Its totient is φ = 579532800.

The previous prime is 2251211957. The next prime is 2251212001. The reversal of 2251212000 is 2121522.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251212001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344766 + ... + 351234.

It is an arithmetic number, because the mean of its divisors is an integer number (39741975).

Almost surely, 2^2251212000 is an apocalyptic number.

2251212000 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 2251212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3815229600).

2251212000 is an abundant number, since it is smaller than the sum of its proper divisors (5379247200).

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

2251212000 is a wasteful number, since it uses less digits than its factorization.

2251212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6526 (or 6508 counting only the distinct ones).

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

The square root of 2251212000 is about 47446.9387842883. The cubic root of 2251212000 is about 1310.6059392090.

Adding to 2251212000 its reverse (2121522), we get a palindrome (2253333522).

The spelling of 2251212000 in words is "two billion, two hundred fifty-one million, two hundred twelve thousand".