20120414112306 has 160 divisors (see below), whose sum is σ = 46647490982400. Its totient is φ = 6475340309760.

The previous prime is 20120414112283. The next prime is 20120414112341. The reversal of 20120414112306 is 60321141402102.

20120414112306 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 0 + 414 + 11 + 230 + 6 = 666.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20120414112306.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7641629566 + ... + 7641632198.

It is an arithmetic number, because the mean of its divisors is an integer number (291546818640).

Almost surely, 2^{20120414112306} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20120414112306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23323745491200).

20120414112306 is an abundant number, since it is smaller than the sum of its proper divisors (26527076870094).

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

20120414112306 is a wasteful number, since it uses less digits than its factorization.

20120414112306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5646 (or 5637 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 20120414112306 its reverse (60321141402102), we get a palindrome (80441555514408).

The spelling of 20120414112306 in words is "twenty trillion, one hundred twenty billion, four hundred fourteen million, one hundred twelve thousand, three hundred six".