122192205216480 has 1536 divisors, whose sum is σ = 530234705387520. Its totient is φ = 25648567418880.

The previous prime is 122192205216443. The next prime is 122192205216481. The reversal of 122192205216480 is 84612502291221.

122192205216480 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 92 + 20 + 52 + 16 + 480 = 666.

It is a super-3 number, since 3×122192205216480³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122192205216481) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3540451704 + ... + 3540486216.

It is an arithmetic number, because the mean of its divisors is an integer number (345204886320).

Almost surely, 2^{122192205216480} is an apocalyptic number.

122192205216480 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 122192205216480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265117352693760).

122192205216480 is an abundant number, since it is smaller than the sum of its proper divisors (408042500171040).

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

122192205216480 is a wasteful number, since it uses less digits than its factorization.

122192205216480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34729 (or 34715 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 122192205216480 in words is "one hundred twenty-two trillion, one hundred ninety-two billion, two hundred five million, two hundred sixteen thousand, four hundred eighty".