1011297222144 has 320 divisors, whose sum is σ = 3268181537280. Its totient is φ = 306215976960.

The previous prime is 1011297222121. The next prime is 1011297222161. The reversal of 1011297222144 is 4412227921101.

1011297222144 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 297 + 222 + 144 = 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 = 1011297222099 and 1011297222108.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 380614864 + ... + 380617520.

It is an arithmetic number, because the mean of its divisors is an integer number (10213067304).

Almost surely, 2^{1011297222144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011297222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634090768640).

1011297222144 is an abundant number, since it is smaller than the sum of its proper divisors (2256884315136).

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

1011297222144 is a wasteful number, since it uses less digits than its factorization.

1011297222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5198 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1011297222144 in words is "one trillion, eleven billion, two hundred ninety-seven million, two hundred twenty-two thousand, one hundred forty-four".