1222122021120 has 1152 divisors, whose sum is σ = 5823049236480. Its totient is φ = 234406379520.

The previous prime is 1222122021089. The next prime is 1222122021139. The reversal of 1222122021120 is 211202212221.

It is a happy number.

1222122021120 is a `hidden beast` number, since 12 + 221 + 220 + 211 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1222122021093 and 1222122021102.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34576897 + ... + 34612223.

It is an arithmetic number, because the mean of its divisors is an integer number (5054730240).

Almost surely, 2^{1222122021120} is an apocalyptic number.

1222122021120 is a gapful number since it is divisible by the number (10) 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 1222122021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911524618240).

1222122021120 is an abundant number, since it is smaller than the sum of its proper divisors (4600927215360).

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

1222122021120 is a wasteful number, since it uses less digits than its factorization.

1222122021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35388 (or 35368 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1222122021120 its reverse (211202212221), we get a palindrome (1433324233341).

The spelling of 1222122021120 in words is "one trillion, two hundred twenty-two billion, one hundred twenty-two million, twenty-one thousand, one hundred twenty".