122611214147904 has 1344 divisors, whose sum is σ = 395098636068864. Its totient is φ = 37623398400000.

The previous prime is 122611214147813. The next prime is 122611214147953. The reversal of 122611214147904 is 409741412116221.

122611214147904 is a `hidden beast` number, since 1 + 2 + 2 + 611 + 2 + 14 + 14 + 7 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 122611214147904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 305763626104 + ... + 305763626504.

It is an arithmetic number, because the mean of its divisors is an integer number (293972199456).

Almost surely, 2^{122611214147904} 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 122611214147904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197549318034432).

122611214147904 is an abundant number, since it is smaller than the sum of its proper divisors (272487421920960).

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

122611214147904 is a wasteful number, since it uses less digits than its factorization.

122611214147904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 122611214147904 in words is "one hundred twenty-two trillion, six hundred eleven billion, two hundred fourteen million, one hundred forty-seven thousand, nine hundred four".