114222001020 has 96 divisors (see below), whose sum is σ = 325185186816. Its totient is φ = 29948755200.

The previous prime is 114222001009. The next prime is 114222001051. The reversal of 114222001020 is 20100222411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15628207 + ... + 15635513.

It is an arithmetic number, because the mean of its divisors is an integer number (3387345696).

Almost surely, 2^114222001020 is an apocalyptic number.

114222001020 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 114222001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162592593408).

114222001020 is an abundant number, since it is smaller than the sum of its proper divisors (210963185796).

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

114222001020 is a wasteful number, since it uses less digits than its factorization.

114222001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11651 (or 11649 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 114222001020 its reverse (20100222411), we get a palindrome (134322223431).

The spelling of 114222001020 in words is "one hundred fourteen billion, two hundred twenty-two million, one thousand, twenty".