122210019648 has 448 divisors, whose sum is σ = 383090196480. Its totient is φ = 38150424576.

The previous prime is 122210019623. The next prime is 122210019649. The reversal of 122210019648 is 846910012221.

122210019648 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 1 + 0 + 0 + 1 + 9 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122210019649) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201334161 + ... + 201334767.

Almost surely, 2^122210019648 is an apocalyptic number.

122210019648 is a gapful number since it is divisible by the number (18) 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 122210019648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191545098240).

122210019648 is an abundant number, since it is smaller than the sum of its proper divisors (260880176832).

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

122210019648 is a wasteful number, since it uses less digits than its factorization.

122210019648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 122210019648 in words is "one hundred twenty-two billion, two hundred ten million, nineteen thousand, six hundred forty-eight".