122234211162144 has 72 divisors (see below), whose sum is σ = 347605439126400. Its totient is φ = 40744514210688.

The previous prime is 122234211162101. The next prime is 122234211162241. The reversal of 122234211162144 is 441261112432221.

122234211162144 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 3 + 4 + 21 + 1 + 1 + 621 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×122234211162144³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (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 = 122234211162099 and 122234211162108.

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, 56564457 + ... + 58685655.

It is an arithmetic number, because the mean of its divisors is an integer number (4827853321200).

Almost surely, 2^{122234211162144} is an apocalyptic number.

It is an amenable number.

122234211162144 is an abundant number, since it is smaller than the sum of its proper divisors (225371227964256).

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

122234211162144 is a wasteful number, since it uses less digits than its factorization.

122234211162144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321302 (or 2321291 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

Adding to 122234211162144 its reverse (441261112432221), we get a palindrome (563495323594365).

The spelling of 122234211162144 in words is "one hundred twenty-two trillion, two hundred thirty-four billion, two hundred eleven million, one hundred sixty-two thousand, one hundred forty-four".