122400579879732 has 384 divisors, whose sum is σ = 373321270296576. Its totient is φ = 30285964800000.

The previous prime is 122400579879671. The next prime is 122400579879757. The reversal of 122400579879732 is 237978975004221.

It is a super-3 number, since 3×122400579879732³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 127 ways as a sum of consecutive naturals, for example, 1307637732 + ... + 1307731332.

It is an arithmetic number, because the mean of its divisors is an integer number (972190808064).

Almost surely, 2^{122400579879732} is an apocalyptic number.

122400579879732 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 122400579879732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186660635148288).

122400579879732 is an abundant number, since it is smaller than the sum of its proper divisors (250920690416844).

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

122400579879732 is a wasteful number, since it uses less digits than its factorization.

122400579879732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94371 (or 94369 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 66.

The spelling of 122400579879732 in words is "one hundred twenty-two trillion, four hundred billion, five hundred seventy-nine million, eight hundred seventy-nine thousand, seven hundred thirty-two".