122163840 has 192 divisors, whose sum is σ = 427714560. Its totient is φ = 32126976.

The previous prime is 122163827. The next prime is 122163851. The reversal of 122163840 is 48361221.

122163840 is a `hidden beast` number, since 1 + 2 + 21 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×122163840³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 731437 + ... + 731603.

It is an arithmetic number, because the mean of its divisors is an integer number (2227680).

Almost surely, 2^122163840 is an apocalyptic number.

122163840 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 122163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213857280).

122163840 is an abundant number, since it is smaller than the sum of its proper divisors (305550720).

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

122163840 is a wasteful number, since it uses less digits than its factorization.

122163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 122163840 is about 11052.7752171118. The cubic root of 122163840 is about 496.1894870876.

The spelling of 122163840 in words is "one hundred twenty-two million, one hundred sixty-three thousand, eight hundred forty".