1022266051128 has 384 divisors, whose sum is σ = 3349329984000. Its totient is φ = 281354217984.

The previous prime is 1022266051117. The next prime is 1022266051133. The reversal of 1022266051128 is 8211506622201.

1022266051128 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 26 + 605 + 1 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1022266051092 and 1022266051101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77514151 + ... + 77527337.

It is an arithmetic number, because the mean of its divisors is an integer number (8722213500).

Almost surely, 2^{1022266051128} is an apocalyptic number.

1022266051128 is a gapful number since it is divisible by the number (18) 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 1022266051128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674664992000).

1022266051128 is an abundant number, since it is smaller than the sum of its proper divisors (2327063932872).

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

1022266051128 is a wasteful number, since it uses less digits than its factorization.

1022266051128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13336 (or 13315 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1022266051128 in words is "one trillion, twenty-two billion, two hundred sixty-six million, fifty-one thousand, one hundred twenty-eight".