2212122552000 has 1792 divisors, whose sum is σ = 8534134702080. Its totient is φ = 501645312000.

The previous prime is 2212122551999. The next prime is 2212122552001. The reversal of 2212122552000 is 2552212122.

It is an interprime number because it is at equal distance from previous prime (2212122551999) and next prime (2212122552001).

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

It is not an unprimeable number, because it can be changed into a prime (2212122552001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13571303919 + ... + 13571304081.

Almost surely, 2^{2212122552000} is an apocalyptic number.

2212122552000 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 2212122552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267067351040).

2212122552000 is an abundant number, since it is smaller than the sum of its proper divisors (6322012150080).

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

2212122552000 is a wasteful number, since it uses less digits than its factorization.

2212122552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 2212122552000 its reverse (2552212122), we get a palindrome (2214674764122).

The spelling of 2212122552000 in words is "two trillion, two hundred twelve billion, one hundred twenty-two million, five hundred fifty-two thousand".