122041304133012 has 144 divisors (see below), whose sum is σ = 337314814916352. Its totient is φ = 36896938352640.

The previous prime is 122041304132933. The next prime is 122041304133013. The reversal of 122041304133012 is 210331403140221.

122041304133012 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 41 + 304 + 13 + 301 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122041304133013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400394133 + ... + 400698819.

Almost surely, 2^{122041304133012} is an apocalyptic number.

122041304133012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122041304133012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168657407458176).

122041304133012 is an abundant number, since it is smaller than the sum of its proper divisors (215273510783340).

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

122041304133012 is a wasteful number, since it uses less digits than its factorization.

122041304133012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307038 (or 307033 counting only the distinct ones).

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

Adding to 122041304133012 its reverse (210331403140221), we get a palindrome (332372707273233).

The spelling of 122041304133012 in words is "one hundred twenty-two trillion, forty-one billion, three hundred four million, one hundred thirty-three thousand, twelve".