122832463104 has 216 divisors, whose sum is σ = 394553544840. Its totient is φ = 36491083776.

The previous prime is 122832463097. The next prime is 122832463129. The reversal of 122832463104 is 401364238221.

122832463104 is a `hidden beast` number, since 1 + 22 + 83 + 246 + 310 + 4 = 666.

122832463104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17108640000 + 105723823104 = 130800^2 + 325152^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 797902 + ... + 939314.

Almost surely, 2^122832463104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122832463104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197276772420).

122832463104 is an abundant number, since it is smaller than the sum of its proper divisors (271721081736).

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

122832463104 is a wasteful number, since it uses less digits than its factorization.

122832463104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141477 (or 141460 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 122832463104 in words is "one hundred twenty-two billion, eight hundred thirty-two million, four hundred sixty-three thousand, one hundred four".