22251021200000 has 384 divisors, whose sum is σ = 58739992743600. Its totient is φ = 8366284800000.

The previous prime is 22251021199999. The next prime is 22251021200003. The reversal of 22251021200000 is 212015222.

It can be written as a sum of positive squares in 24 ways, for example, as 9775827663424 + 12475193536576 = 3126632^2 + 3532024^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (22251021200003) 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, 7269198470 + ... + 7269201530.

Almost surely, 2^{22251021200000} is an apocalyptic number.

22251021200000 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 22251021200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29369996371800).

22251021200000 is an abundant number, since it is smaller than the sum of its proper divisors (36488971543600).

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

22251021200000 is an equidigital number, since it uses as much as digits as its factorization.

22251021200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4186 (or 4154 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 22251021200000 its reverse (212015222), we get a palindrome (22251233215222).

The spelling of 22251021200000 in words is "twenty-two trillion, two hundred fifty-one billion, twenty-one million, two hundred thousand".