122114242944 has 192 divisors, whose sum is σ = 355415523840. Its totient is φ = 40241553408.

The previous prime is 122114242933. The next prime is 122114242951. The reversal of 122114242944 is 449242411221.

122114242944 is a `hidden beast` number, since 1 + 221 + 1 + 4 + 2 + 429 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 122114242899 and 122114242908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46377052 + ... + 46379684.

It is an arithmetic number, because the mean of its divisors is an integer number (1851122520).

Almost surely, 2^122114242944 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 122114242944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177707761920).

122114242944 is an abundant number, since it is smaller than the sum of its proper divisors (233301280896).

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

122114242944 is a wasteful number, since it uses less digits than its factorization.

122114242944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3082 counting only the distinct ones).

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

The spelling of 122114242944 in words is "one hundred twenty-two billion, one hundred fourteen million, two hundred forty-two thousand, nine hundred forty-four".