122121220032 has 168 divisors, whose sum is σ = 400215766496. Its totient is φ = 34876790784.

The previous prime is 122121219977. The next prime is 122121220051. The reversal of 122121220032 is 230022121221.

122121220032 is a `hidden beast` number, since 1 + 221 + 212 + 200 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122121219987 and 122121220014.

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, 12240198 + ... + 12250170.

Almost surely, 2^122121220032 is an apocalyptic number.

122121220032 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 122121220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200107883248).

122121220032 is an abundant number, since it is smaller than the sum of its proper divisors (278094546464).

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

122121220032 is a wasteful number, since it uses less digits than its factorization.

122121220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13035 (or 13022 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122121220032 its reverse (230022121221), we get a palindrome (352143341253).

The spelling of 122121220032 in words is "one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty thousand, thirty-two".