22122001021120 has 336 divisors, whose sum is σ = 71264357043264. Its totient is φ = 6364770508800.

The previous prime is 22122001021117. The next prime is 22122001021147. The reversal of 22122001021120 is 2112010022122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22122001021094 and 22122001021103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384330 + ... + 6662710.

It is an arithmetic number, because the mean of its divisors is an integer number (212096300724).

Almost surely, 2^{22122001021120} is an apocalyptic number.

22122001021120 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 22122001021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35632178521632).

22122001021120 is an abundant number, since it is smaller than the sum of its proper divisors (49142356022144).

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

22122001021120 is a wasteful number, since it uses less digits than its factorization.

22122001021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6278440 (or 6278419 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22122001021120 its reverse (2112010022122), we get a palindrome (24234011043242).

The spelling of 22122001021120 in words is "twenty-two trillion, one hundred twenty-two billion, one million, twenty-one thousand, one hundred twenty".