114201043201120 has 48 divisors (see below), whose sum is σ = 270007983530208. Its totient is φ = 45645197137920.

The previous prime is 114201043201103. The next prime is 114201043201151. The reversal of 114201043201120 is 21102340102411.

It is a junction number, because it is equal to n+sod(n) for n = 114201043201091 and 114201043201100.

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, 274949196 + ... + 275364235.

It is an arithmetic number, because the mean of its divisors is an integer number (5625166323546).

Almost surely, 2^{114201043201120} is an apocalyptic number.

114201043201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114201043201120 is an abundant number, since it is smaller than the sum of its proper divisors (155806940329088).

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

114201043201120 is a wasteful number, since it uses less digits than its factorization.

114201043201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550314743 (or 550314735 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 114201043201120 its reverse (21102340102411), we get a palindrome (135303383303531).

The spelling of 114201043201120 in words is "one hundred fourteen trillion, two hundred one billion, forty-three million, two hundred one thousand, one hundred twenty".