114012123401540 has 96 divisors (see below), whose sum is σ = 294815005255680. Its totient is φ = 36066118910976.

The previous prime is 114012123401507. The next prime is 114012123401543. The reversal of 114012123401540 is 45104321210411.

114012123401540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×114012123401540³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (114012123401543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10715705 + ... + 18516224.

It is an arithmetic number, because the mean of its divisors is an integer number (3070989638080).

Almost surely, 2^{114012123401540} is an apocalyptic number.

114012123401540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114012123401540 is an abundant number, since it is smaller than the sum of its proper divisors (180802881854140).

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

114012123401540 is a wasteful number, since it uses less digits than its factorization.

114012123401540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29234101 (or 29234099 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 114012123401540 its reverse (45104321210411), we get a palindrome (159116444611951).

The spelling of 114012123401540 in words is "one hundred fourteen trillion, twelve billion, one hundred twenty-three million, four hundred one thousand, five hundred forty".