122667551712 has 192 divisors, whose sum is σ = 382508904960. Its totient is φ = 38109837312.

The previous prime is 122667551711. The next prime is 122667551717. The reversal of 122667551712 is 217155766221.

122667551712 is a `hidden beast` number, since 1 + 2 + 2 + 66 + 75 + 517 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122667551711) by changing a digit.

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, 1472323 + ... + 1553405.

It is an arithmetic number, because the mean of its divisors is an integer number (1992233880).

Almost surely, 2^122667551712 is an apocalyptic number.

122667551712 is a gapful number since it is divisible by the number (12) 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 122667551712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191254452480).

122667551712 is an abundant number, since it is smaller than the sum of its proper divisors (259841353248).

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

122667551712 is a wasteful number, since it uses less digits than its factorization.

122667551712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81222 (or 81208 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The spelling of 122667551712 in words is "one hundred twenty-two billion, six hundred sixty-seven million, five hundred fifty-one thousand, seven hundred twelve".