122166157740 has 192 divisors, whose sum is σ = 378432552960. Its totient is φ = 29198856960.

The previous prime is 122166157727. The next prime is 122166157747. The reversal of 122166157740 is 47751661221.

It is a junction number, because it is equal to n+sod(n) for n = 122166157692 and 122166157701.

It is not an unprimeable number, because it can be changed into a prime (122166157747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50418169 + ... + 50420591.

It is an arithmetic number, because the mean of its divisors is an integer number (1971002880).

Almost surely, 2^122166157740 is an apocalyptic number.

122166157740 is a gapful number since it is divisible by the number (10) 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 122166157740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189216276480).

122166157740 is an abundant number, since it is smaller than the sum of its proper divisors (256266395220).

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

122166157740 is a wasteful number, since it uses less digits than its factorization.

122166157740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 122166157740 in words is "one hundred twenty-two billion, one hundred sixty-six million, one hundred fifty-seven thousand, seven hundred forty".