122028633216 has 640 divisors, whose sum is σ = 441231436800. Its totient is φ = 32732356608.

The previous prime is 122028633211. The next prime is 122028633239. The reversal of 122028633216 is 612336820221.

122028633216 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 2 + 8 + 633 + 2 + 16 = 666.

122028633216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (122028633211) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77873265 + ... + 77874831.

It is an arithmetic number, because the mean of its divisors is an integer number (689424120).

Almost surely, 2^122028633216 is an apocalyptic number.

122028633216 is a gapful number since it is divisible by the number (16) 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 122028633216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220615718400).

122028633216 is an abundant number, since it is smaller than the sum of its proper divisors (319202803584).

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

122028633216 is a wasteful number, since it uses less digits than its factorization.

122028633216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 122028633216 in words is "one hundred twenty-two billion, twenty-eight million, six hundred thirty-three thousand, two hundred sixteen".