122242131140112 has 30 divisors (see below), whose sum is σ = 342108186455022. Its totient is φ = 40747377046656.

The previous prime is 122242131139901. The next prime is 122242131140119. The reversal of 122242131140112 is 211041131242221.

122242131140112 is a `hidden beast` number, since 1 + 2 + 2 + 24 + 213 + 11 + 401 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121880805121296 + 361326018816 = 11039964^2 + 601104^2 .

It is a super-3 number, since 3×122242131140112³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (122242131140119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 424451844093 + ... + 424451844380.

Almost surely, 2^{122242131140112} is an apocalyptic number.

122242131140112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122242131140112 is an abundant number, since it is smaller than the sum of its proper divisors (219866055314910).

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

122242131140112 is a wasteful number, since it uses less digits than its factorization.

122242131140112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848903688487 (or 848903688478 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 122242131140112 its reverse (211041131242221), we get a palindrome (333283262382333).

The spelling of 122242131140112 in words is "one hundred twenty-two trillion, two hundred forty-two billion, one hundred thirty-one million, one hundred forty thousand, one hundred twelve".