2231242117000 has 256 divisors, whose sum is σ = 5872646707200. Its totient is φ = 787981132800.

The previous prime is 2231242116973. The next prime is 2231242117033. The reversal of 2231242117000 is 7112421322.

It is a super-3 number, since 3×2231242117000³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 28339689 + ... + 28418311.

It is an arithmetic number, because the mean of its divisors is an integer number (22940026200).

Almost surely, 2^{2231242117000} is an apocalyptic number.

2231242117000 is a gapful number since it is divisible by the number (20) 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 2231242117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936323353600).

2231242117000 is an abundant number, since it is smaller than the sum of its proper divisors (3641404590200).

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

2231242117000 is a wasteful number, since it uses less digits than its factorization.

2231242117000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78753 (or 78739 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

Adding to 2231242117000 its reverse (7112421322), we get a palindrome (2238354538322).

The spelling of 2231242117000 in words is "two trillion, two hundred thirty-one billion, two hundred forty-two million, one hundred seventeen thousand".