114002022071712 has 288 divisors, whose sum is σ = 328767638814720. Its totient is φ = 34561250979840.

The previous prime is 114002022071711. The next prime is 114002022071731. The reversal of 114002022071712 is 217170220200411.

It is a super-2 number, since 2×114002022071712² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114002022071712.

It is not an unprimeable number, because it can be changed into a prime (114002022071711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102460137 + ... + 103566807.

It is an arithmetic number, because the mean of its divisors is an integer number (1141554301440).

Almost surely, 2^{114002022071712} is an apocalyptic number.

114002022071712 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 114002022071712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164383819407360).

114002022071712 is an abundant number, since it is smaller than the sum of its proper divisors (214765616743008).

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

114002022071712 is a wasteful number, since it uses less digits than its factorization.

114002022071712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106844 (or 1106819 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The spelling of 114002022071712 in words is "one hundred fourteen trillion, two billion, twenty-two million, seventy-one thousand, seven hundred twelve".