20120414122312 has 256 divisors, whose sum is σ = 46065903206400. Its totient is φ = 8056859166720.

The previous prime is 20120414122309. The next prime is 20120414122337. The reversal of 20120414122312 is 21322141402102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2975949012 + ... + 2975955772.

It is an arithmetic number, because the mean of its divisors is an integer number (179944934400).

Almost surely, 2^{20120414122312} 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 20120414122312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23032951603200).

20120414122312 is an abundant number, since it is smaller than the sum of its proper divisors (25945489084088).

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

20120414122312 is a wasteful number, since it uses less digits than its factorization.

20120414122312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7284 (or 7280 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 20120414122312 its reverse (21322141402102), we get a palindrome (41442555524414).

The spelling of 20120414122312 in words is "twenty trillion, one hundred twenty billion, four hundred fourteen million, one hundred twenty-two thousand, three hundred twelve".