114121410012032 has 64 divisors (see below), whose sum is σ = 228871014829440. Its totient is φ = 56679319641600.

The previous prime is 114121410012023. The next prime is 114121410012151. The reversal of 114121410012032 is 230210014121411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×114121410012032² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114121410011989 and 114121410012007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328150943 + ... + 328498529.

It is an arithmetic number, because the mean of its divisors is an integer number (3576109606710).

Almost surely, 2^{114121410012032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114121410012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114435507414720).

114121410012032 is an abundant number, since it is smaller than the sum of its proper divisors (114749604817408).

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

114121410012032 is a wasteful number, since it uses less digits than its factorization.

114121410012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364739 (or 364727 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 114121410012032 its reverse (230210014121411), we get a palindrome (344331424133443).

The spelling of 114121410012032 in words is "one hundred fourteen trillion, one hundred twenty-one billion, four hundred ten million, twelve thousand, thirty-two".