1121288212026 has 192 divisors, whose sum is σ = 2672793002880. Its totient is φ = 351330877440.

The previous prime is 1121288212019. The next prime is 1121288212067. The reversal of 1121288212026 is 6202128821211.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1056821536 + ... + 1056822596.

It is an arithmetic number, because the mean of its divisors is an integer number (13920796890).

Almost surely, 2^{1121288212026} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121288212026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336396501440).

1121288212026 is an abundant number, since it is smaller than the sum of its proper divisors (1551504790854).

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

1121288212026 is a wasteful number, since it uses less digits than its factorization.

1121288212026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 1121288212026 in words is "one trillion, one hundred twenty-one billion, two hundred eighty-eight million, two hundred twelve thousand, twenty-six".