122340281353920 has 336 divisors, whose sum is σ = 483013898852160. Its totient is φ = 27841380507648.

The previous prime is 122340281353897. The next prime is 122340281353981. The reversal of 122340281353920 is 29353182043221.

122340281353920 is a `hidden beast` number, since 1 + 2 + 2 + 34 + 0 + 2 + 81 + 3 + 539 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8633287 + ... + 17866566.

Almost surely, 2^{122340281353920} is an apocalyptic number.

122340281353920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122340281353920 is an abundant number, since it is smaller than the sum of its proper divisors (360673617498240).

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

122340281353920 is a wasteful number, since it uses less digits than its factorization.

122340281353920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26500112 (or 26500099 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 122340281353920 in words is "one hundred twenty-two trillion, three hundred forty billion, two hundred eighty-one million, three hundred fifty-three thousand, nine hundred twenty".