122119741632 has 224 divisors, whose sum is σ = 386242560000. Its totient is φ = 33294615552.

The previous prime is 122119741591. The next prime is 122119741651. The reversal of 122119741632 is 236147911221.

122119741632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13565869 + ... + 13574867.

Almost surely, 2^122119741632 is an apocalyptic number.

122119741632 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 122119741632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193121280000).

122119741632 is an abundant number, since it is smaller than the sum of its proper divisors (264122818368).

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

122119741632 is a wasteful number, since it uses less digits than its factorization.

122119741632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9483 (or 9473 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The spelling of 122119741632 in words is "one hundred twenty-two billion, one hundred nineteen million, seven hundred forty-one thousand, six hundred thirty-two".