122119805952 has 704 divisors, whose sum is σ = 401251302400. Its totient is φ = 36548444160.

The previous prime is 122119805947. The next prime is 122119805993. The reversal of 122119805952 is 259508911221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122119805898 and 122119805907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1185629133 + ... + 1185629235.

Almost surely, 2^122119805952 is an apocalyptic number.

122119805952 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 122119805952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200625651200).

122119805952 is an abundant number, since it is smaller than the sum of its proper divisors (279131496448).

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

122119805952 is a wasteful number, since it uses less digits than its factorization.

122119805952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 122119805952 in words is "one hundred twenty-two billion, one hundred nineteen million, eight hundred five thousand, nine hundred fifty-two".