114121722720 has 192 divisors, whose sum is σ = 368038702080. Its totient is φ = 29711413248.

The previous prime is 114121722719. The next prime is 114121722727. The reversal of 114121722720 is 27227121411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114121722727) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9446604 + ... + 9458676.

It is an arithmetic number, because the mean of its divisors is an integer number (1916868240).

Almost surely, 2^114121722720 is an apocalyptic number.

114121722720 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 114121722720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184019351040).

114121722720 is an abundant number, since it is smaller than the sum of its proper divisors (253916979360).

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

114121722720 is a wasteful number, since it uses less digits than its factorization.

114121722720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12557 (or 12549 counting only the distinct ones).

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

The spelling of 114121722720 in words is "one hundred fourteen billion, one hundred twenty-one million, seven hundred twenty-two thousand, seven hundred twenty".