122151896064 has 528 divisors, whose sum is σ = 406128992256. Its totient is φ = 35017113600.

The previous prime is 122151896051. The next prime is 122151896081. The reversal of 122151896064 is 460698151221.

122151896064 is a `hidden beast` number, since 1 + 2 + 21 + 5 + 18 + 9 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147704419 + ... + 147705245.

Almost surely, 2^122151896064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122151896064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203064496128).

122151896064 is an abundant number, since it is smaller than the sum of its proper divisors (283977096192).

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

122151896064 is a wasteful number, since it uses less digits than its factorization.

122151896064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 122151896064 in words is "one hundred twenty-two billion, one hundred fifty-one million, eight hundred ninety-six thousand, sixty-four".