20120414112333 has 128 divisors (see below), whose sum is σ = 32340128000000. Its totient is φ = 12320053903872.

The previous prime is 20120414112283. The next prime is 20120414112341. The reversal of 20120414112333 is 33321141402102.

20120414112333 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 0 + 414 + 11 + 233 + 3 = 666.

It is not a de Polignac number, because 20120414112333 - 2¹⁶ = 20120414046797 is a prime.

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 = 20120414112297 and 20120414112306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120414112353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8136033585 + ... + 8136036057.

It is an arithmetic number, because the mean of its divisors is an integer number (252657250000).

Almost surely, 2^{20120414112333} is an apocalyptic number.

It is an amenable number.

20120414112333 is a deficient number, since it is larger than the sum of its proper divisors (12219713887667).

20120414112333 is a wasteful number, since it uses less digits than its factorization.

20120414112333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3896 (or 3890 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 20120414112333 its reverse (33321141402102), we get a palindrome (53441555514435).

The spelling of 20120414112333 in words is "twenty trillion, one hundred twenty billion, four hundred fourteen million, one hundred twelve thousand, three hundred thirty-three".