114012050133042 has 144 divisors (see below), whose sum is σ = 264776566358304. Its totient is φ = 36794035512000.

The previous prime is 114012050133019. The next prime is 114012050133053. The reversal of 114012050133042 is 240331050210411.

114012050133042 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 120 + 501 + 3 + 30 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114012050132997 and 114012050133015.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69669417 + ... + 71287107.

It is an arithmetic number, because the mean of its divisors is an integer number (1838726155266).

Almost surely, 2^{114012050133042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114012050133042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132388283179152).

114012050133042 is an abundant number, since it is smaller than the sum of its proper divisors (150764516225262).

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

114012050133042 is an equidigital number, since it uses as much as digits as its factorization.

114012050133042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617889 (or 1617868 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 114012050133042 in words is "one hundred fourteen trillion, twelve billion, fifty million, one hundred thirty-three thousand, forty-two".