114222421433120 has 768 divisors, whose sum is σ = 369962915954688. Its totient is φ = 32172387287040.

The previous prime is 114222421433119. The next prime is 114222421433147. The reversal of 114222421433120 is 21334124222411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3930151709 + ... + 3930180771.

It is an arithmetic number, because the mean of its divisors is an integer number (481722546816).

Almost surely, 2^{114222421433120} is an apocalyptic number.

114222421433120 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 114222421433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184981457977344).

114222421433120 is an abundant number, since it is smaller than the sum of its proper divisors (255740494521568).

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

114222421433120 is a wasteful number, since it uses less digits than its factorization.

114222421433120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29625 (or 29617 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 114222421433120 its reverse (21334124222411), we get a palindrome (135556545655531).

The spelling of 114222421433120 in words is "one hundred fourteen trillion, two hundred twenty-two billion, four hundred twenty-one million, four hundred thirty-three thousand, one hundred twenty".