1011122117952 has 112 divisors (see below), whose sum is σ = 2741761002624. Its totient is φ = 328670208000.

The previous prime is 1011122117879. The next prime is 1011122117953. The reversal of 1011122117952 is 2597112211101.

1011122117952 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011122117953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17927877 + ... + 17984187.

It is an arithmetic number, because the mean of its divisors is an integer number (24480008952).

Almost surely, 2^{1011122117952} is an apocalyptic number.

1011122117952 is a gapful number since it is divisible by the number (12) 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 1011122117952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370880501312).

1011122117952 is an abundant number, since it is smaller than the sum of its proper divisors (1730638884672).

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

1011122117952 is a wasteful number, since it uses less digits than its factorization.

1011122117952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58648 (or 58638 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 33.

The spelling of 1011122117952 in words is "one trillion, eleven billion, one hundred twenty-two million, one hundred seventeen thousand, nine hundred fifty-two".