114512400112032 has 144 divisors (see below), whose sum is σ = 350743846602240. Its totient is φ = 35229599156736.

The previous prime is 114512400112027. The next prime is 114512400112037. The reversal of 114512400112032 is 230211004215411.

114512400112032 is a `hidden beast` number, since 1 + 1 + 4 + 51 + 2 + 400 + 1 + 1 + 203 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (114512400112027) and next prime (114512400112037).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×114512400112032² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114512400111987 and 114512400112005.

It is not an unprimeable number, because it can be changed into a prime (114512400112037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24343473 + ... + 28664079.

It is an arithmetic number, because the mean of its divisors is an integer number (2435721156960).

Almost surely, 2^{114512400112032} is an apocalyptic number.

114512400112032 is a gapful number since it is divisible by the number (12) 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 114512400112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175371923301120).

114512400112032 is an abundant number, since it is smaller than the sum of its proper divisors (236231446490208).

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

114512400112032 is a wasteful number, since it uses less digits than its factorization.

114512400112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4327715 (or 4327704 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 114512400112032 its reverse (230211004215411), we get a palindrome (344723404327443).

The spelling of 114512400112032 in words is "one hundred fourteen trillion, five hundred twelve billion, four hundred million, one hundred twelve thousand, thirty-two".