122052096 has 160 divisors (see below), whose sum is σ = 369098400. Its totient is φ = 40310784.

The previous prime is 122052071. The next prime is 122052109. The reversal of 122052096 is 690250221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1119690 + ... + 1119798.

It is an arithmetic number, because the mean of its divisors is an integer number (2306865).

Almost surely, 2^122052096 is an apocalyptic number.

122052096 is a gapful number since it is divisible by the number (16) 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 122052096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184549200).

122052096 is an abundant number, since it is smaller than the sum of its proper divisors (247046304).

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

122052096 is an frugal number, since it uses more digits than its factorization.

122052096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 122052096 is about 11047.7190405984. The cubic root of 122052096 is about 496.0381517653.

The spelling of 122052096 in words is "one hundred twenty-two million, fifty-two thousand, ninety-six".