122699727072 has 288 divisors, whose sum is σ = 400036008960. Its totient is φ = 36534551040.

The previous prime is 122699727061. The next prime is 122699727121. The reversal of 122699727072 is 270727996221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4512943 + ... + 4540049.

It is an arithmetic number, because the mean of its divisors is an integer number (1389013920).

Almost surely, 2^122699727072 is an apocalyptic number.

122699727072 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 122699727072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200018004480).

122699727072 is an abundant number, since it is smaller than the sum of its proper divisors (277336281888).

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

122699727072 is a wasteful number, since it uses less digits than its factorization.

122699727072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27183 (or 27156 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 122699727072 in words is "one hundred twenty-two billion, six hundred ninety-nine million, seven hundred twenty-seven thousand, seventy-two".