122129082240 has 128 divisors (see below), whose sum is σ = 424676200320. Its totient is φ = 29607045120.

The previous prime is 122129082221. The next prime is 122129082253. The reversal of 122129082240 is 42280921221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2870194 + ... + 2912433.

It is an arithmetic number, because the mean of its divisors is an integer number (3317782815).

Almost surely, 2^122129082240 is an apocalyptic number.

122129082240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122129082240 is an abundant number, since it is smaller than the sum of its proper divisors (302547118080).

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

122129082240 is a wasteful number, since it uses less digits than its factorization.

122129082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5782660 (or 5782648 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 122129082240 in words is "one hundred twenty-two billion, one hundred twenty-nine million, eighty-two thousand, two hundred forty".