122150334652416 has 448 divisors, whose sum is σ = 413908500096000. Its totient is φ = 34874530725888.

The previous prime is 122150334652387. The next prime is 122150334652427. The reversal of 122150334652416 is 614256433051221.

122150334652416 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 50 + 33 + 46 + 524 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2166026716 + ... + 2166083108.

It is an arithmetic number, because the mean of its divisors is an integer number (923902902000).

Almost surely, 2^{122150334652416} is an apocalyptic number.

122150334652416 is a gapful number since it is divisible by the number (16) 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 122150334652416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206954250048000).

122150334652416 is an abundant number, since it is smaller than the sum of its proper divisors (291758165443584).

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

122150334652416 is an equidigital number, since it uses as much as digits as its factorization.

122150334652416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57834 (or 57804 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

It can be divided in two parts, 12215033 and 4652416, that added together give a square (16867449 = 4107²).

The spelling of 122150334652416 in words is "one hundred twenty-two trillion, one hundred fifty billion, three hundred thirty-four million, six hundred fifty-two thousand, four hundred sixteen".