122114244132 has 36 divisors (see below), whose sum is σ = 308751952236. Its totient is φ = 40694952960.

The previous prime is 122114244107. The next prime is 122114244143. The reversal of 122114244132 is 231442411221.

122114244132 is a `hidden beast` number, since 1 + 2 + 211 + 4 + 2 + 441 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108903960036 + 13210284096 = 330006^2 + 114936^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122114244096 and 122114244105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255669 + ... + 556412.

Almost surely, 2^122114244132 is an apocalyptic number.

122114244132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122114244132 is an abundant number, since it is smaller than the sum of its proper divisors (186637708104).

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

122114244132 is a wasteful number, since it uses less digits than its factorization.

122114244132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816268 (or 816263 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 122114244132 its reverse (231442411221), we get a palindrome (353556655353).

The spelling of 122114244132 in words is "one hundred twenty-two billion, one hundred fourteen million, two hundred forty-four thousand, one hundred thirty-two".