114222001120 has 96 divisors (see below), whose sum is σ = 271714419648. Its totient is φ = 45373882368.

The previous prime is 114222001067. The next prime is 114222001133. The reversal of 114222001120 is 21100222411.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 114222001094 and 114222001103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19976502 + ... + 19982218.

It is an arithmetic number, because the mean of its divisors is an integer number (2830358538).

Almost surely, 2^114222001120 is an apocalyptic number.

114222001120 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 114222001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135857209824).

114222001120 is an abundant number, since it is smaller than the sum of its proper divisors (157492418528).

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

114222001120 is a wasteful number, since it uses less digits than its factorization.

114222001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6572 (or 6564 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 114222001120 its reverse (21100222411), we get a palindrome (135322223531).

The spelling of 114222001120 in words is "one hundred fourteen billion, two hundred twenty-two million, one thousand, one hundred twenty".