122395093920 has 288 divisors, whose sum is σ = 471357169920. Its totient is φ = 28648273920.

The previous prime is 122395093897. The next prime is 122395093927. The reversal of 122395093920 is 29390593221.

122395093920 is a `hidden beast` number, since 1 + 22 + 39 + 509 + 3 + 92 + 0 = 666.

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 (45).

It is not an unprimeable number, because it can be changed into a prime (122395093927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326137 + ... + 592583.

It is an arithmetic number, because the mean of its divisors is an integer number (1636656840).

Almost surely, 2^122395093920 is an apocalyptic number.

122395093920 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 122395093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235678584960).

122395093920 is an abundant number, since it is smaller than the sum of its proper divisors (348962076000).

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

122395093920 is a wasteful number, since it uses less digits than its factorization.

122395093920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266508 (or 266497 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 122395093920 in words is "one hundred twenty-two billion, three hundred ninety-five million, ninety-three thousand, nine hundred twenty".