122134250784 has 192 divisors, whose sum is σ = 394957624320. Its totient is φ = 32181027840.

The previous prime is 122134250779. The next prime is 122134250801. The reversal of 122134250784 is 487052431221.

It is a happy number.

It is a super-2 number, since 2×122134250784² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10223887 + ... + 10235825.

It is an arithmetic number, because the mean of its divisors is an integer number (2057070960).

Almost surely, 2^122134250784 is an apocalyptic number.

122134250784 is a gapful number since it is divisible by the number (14) 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 122134250784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197478812160).

122134250784 is an abundant number, since it is smaller than the sum of its proper divisors (272823373536).

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

122134250784 is a wasteful number, since it uses less digits than its factorization.

122134250784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13143 (or 13135 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 122134250784 in words is "one hundred twenty-two billion, one hundred thirty-four million, two hundred fifty thousand, seven hundred eighty-four".