122722629120 has 1280 divisors, whose sum is σ = 544465152000. Its totient is φ = 25512247296.

The previous prime is 122722629061. The next prime is 122722629131. The reversal of 122722629120 is 21926227221.

It is a happy number.

122722629120 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 2 + 2 + 629 + 1 + 20 = 666.

122722629120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 685601191 + ... + 685601369.

It is an arithmetic number, because the mean of its divisors is an integer number (425363400).

Almost surely, 2^122722629120 is an apocalyptic number.

122722629120 is a gapful number since it is divisible by the number (10) 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 122722629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272232576000).

122722629120 is an abundant number, since it is smaller than the sum of its proper divisors (421742522880).

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

122722629120 is a wasteful number, since it uses less digits than its factorization.

122722629120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 122722629120 in words is "one hundred twenty-two billion, seven hundred twenty-two million, six hundred twenty-nine thousand, one hundred twenty".