114025544121020 has 192 divisors, whose sum is σ = 280872691706880. Its totient is φ = 38067979622400.

The previous prime is 114025544121007. The next prime is 114025544121031. The reversal of 114025544121020 is 20121445520411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10617886811 + ... + 10617897549.

It is an arithmetic number, because the mean of its divisors is an integer number (1462878602640).

Almost surely, 2^{114025544121020} is an apocalyptic number.

114025544121020 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 114025544121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140436345853440).

114025544121020 is an abundant number, since it is smaller than the sum of its proper divisors (166847147585860).

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

114025544121020 is a wasteful number, since it uses less digits than its factorization.

114025544121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14164 (or 14162 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

Adding to 114025544121020 its reverse (20121445520411), we get a palindrome (134146989641431).

The spelling of 114025544121020 in words is "one hundred fourteen trillion, twenty-five billion, five hundred forty-four million, one hundred twenty-one thousand, twenty".