114222121551440 has 40 divisors (see below), whose sum is σ = 303504494409600. Its totient is φ = 39161870246016.

The previous prime is 114222121551431. The next prime is 114222121551457. The reversal of 114222121551440 is 44155121222411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×114222121551440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 114222121551440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101984036540 + ... + 101984037659.

It is an arithmetic number, because the mean of its divisors is an integer number (7587612360240).

Almost surely, 2^{114222121551440} is an apocalyptic number.

114222121551440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114222121551440 is an abundant number, since it is smaller than the sum of its proper divisors (189282372858160).

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

114222121551440 is a wasteful number, since it uses less digits than its factorization.

114222121551440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203968074219 (or 203968074213 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

Adding to 114222121551440 its reverse (44155121222411), we get a palindrome (158377242773851).

The spelling of 114222121551440 in words is "one hundred fourteen trillion, two hundred twenty-two billion, one hundred twenty-one million, five hundred fifty-one thousand, four hundred forty".