11172290256120 has 256 divisors, whose sum is σ = 38508165734400. Its totient is φ = 2540135324160.

The previous prime is 11172290256107. The next prime is 11172290256131. The reversal of 11172290256120 is 2165209227111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 333017187 + ... + 333050733.

It is an arithmetic number, because the mean of its divisors is an integer number (150422522400).

Almost surely, 2^{11172290256120} is an apocalyptic number.

11172290256120 is a gapful number since it is divisible by the number (10) 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 11172290256120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19254082867200).

11172290256120 is an abundant number, since it is smaller than the sum of its proper divisors (27335875478280).

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

11172290256120 is a wasteful number, since it uses less digits than its factorization.

11172290256120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35658 (or 35654 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 11172290256120 in words is "eleven trillion, one hundred seventy-two billion, two hundred ninety million, two hundred fifty-six thousand, one hundred twenty".