1101128876224 has 112 divisors (see below), whose sum is σ = 2373599162368. Its totient is φ = 503799948288.

The previous prime is 1101128876191. The next prime is 1101128876251. The reversal of 1101128876224 is 4226788211011.

It is a super-2 number, since 2×1101128876224² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156696199 + ... + 156703225.

It is an arithmetic number, because the mean of its divisors is an integer number (21192849664).

Almost surely, 2^{1101128876224} 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 1101128876224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186799581184).

1101128876224 is an abundant number, since it is smaller than the sum of its proper divisors (1272470286144).

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

1101128876224 is a wasteful number, since it uses less digits than its factorization.

1101128876224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8662 (or 8652 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 43.

The spelling of 1101128876224 in words is "one trillion, one hundred one billion, one hundred twenty-eight million, eight hundred seventy-six thousand, two hundred twenty-four".