114012124155504 has 240 divisors, whose sum is σ = 325934304119424. Its totient is φ = 37193848012800.

The previous prime is 114012124155389. The next prime is 114012124155533. The reversal of 114012124155504 is 405551421210411.

114012124155504 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 12 + 124 + 15 + 5 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1412101824 + ... + 1412182560.

Almost surely, 2^{114012124155504} 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 114012124155504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162967152059712).

114012124155504 is an abundant number, since it is smaller than the sum of its proper divisors (211922179963920).

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

114012124155504 is a wasteful number, since it uses less digits than its factorization.

114012124155504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81616 (or 81607 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

Adding to 114012124155504 its reverse (405551421210411), we get a palindrome (519563545365915).

The spelling of 114012124155504 in words is "one hundred fourteen trillion, twelve billion, one hundred twenty-four million, one hundred fifty-five thousand, five hundred four".