1022121324224 has 224 divisors, whose sum is σ = 2732945650176. Its totient is φ = 366290657280.

The previous prime is 1022121324221. The next prime is 1022121324281. The reversal of 1022121324224 is 4224231212201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 1022121324193 and 1022121324202.

It is not an unprimeable number, because it can be changed into a prime (1022121324221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18101924 + ... + 18158300.

It is an arithmetic number, because the mean of its divisors is an integer number (12200650224).

Almost surely, 2^{1022121324224} is an apocalyptic number.

1022121324224 is a gapful number since it is divisible by the number (14) 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 1022121324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366472825088).

1022121324224 is an abundant number, since it is smaller than the sum of its proper divisors (1710824325952).

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

1022121324224 is a wasteful number, since it uses less digits than its factorization.

1022121324224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56703 (or 56693 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 1022121324224 its reverse (4224231212201), we get a palindrome (5246352536425).

The spelling of 1022121324224 in words is "one trillion, twenty-two billion, one hundred twenty-one million, three hundred twenty-four thousand, two hundred twenty-four".