122496228771840 has 7776 divisors, whose sum is σ = 619967972070720. Its totient is φ = 23065651445760.

The previous prime is 122496228771797. The next prime is 122496228771887. The reversal of 122496228771840 is 48177822694221.

122496228771840 is a `hidden beast` number, since 1 + 2 + 2 + 496 + 2 + 28 + 77 + 18 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (7776).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 647 ways as a sum of consecutive naturals, for example, 5325922990069 + ... + 5325922990091.

It is an arithmetic number, because the mean of its divisors is an integer number (79728391470).

Almost surely, 2^{122496228771840} is an apocalyptic number.

122496228771840 is a gapful number since it is divisible by the number (10) 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 122496228771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309983986035360).

122496228771840 is an abundant number, since it is smaller than the sum of its proper divisors (497471743298880).

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

122496228771840 is a wasteful number, since it uses less digits than its factorization.

122496228771840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 122496228771840 in words is "one hundred twenty-two trillion, four hundred ninety-six billion, two hundred twenty-eight million, seven hundred seventy-one thousand, eight hundred forty".