122219943552 has 640 divisors, whose sum is σ = 445042646400. Its totient is φ = 32517365760.

The previous prime is 122219943511. The next prime is 122219943569. The reversal of 122219943552 is 255349912221.

122219943552 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 1 + 9 + 94 + 3 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 122219943498 and 122219943507.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 84114858 + ... + 84116310.

It is an arithmetic number, because the mean of its divisors is an integer number (695379135).

Almost surely, 2^122219943552 is an apocalyptic number.

122219943552 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 122219943552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222521323200).

122219943552 is an abundant number, since it is smaller than the sum of its proper divisors (322822702848).

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

122219943552 is a wasteful number, since it uses less digits than its factorization.

122219943552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1545 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 122219943552 in words is "one hundred twenty-two billion, two hundred nineteen million, nine hundred forty-three thousand, five hundred fifty-two".