122145325040 has 160 divisors (see below), whose sum is σ = 313825985280. Its totient is φ = 44003950592.

The previous prime is 122145325039. The next prime is 122145325121. The reversal of 122145325040 is 40523541221.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 122145324994 and 122145325012.

It is a congruent number.

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, 4443017 + ... + 4470423.

It is an arithmetic number, because the mean of its divisors is an integer number (1961412408).

Almost surely, 2^122145325040 is an apocalyptic number.

122145325040 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 122145325040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156912992640).

122145325040 is an abundant number, since it is smaller than the sum of its proper divisors (191680660240).

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

122145325040 is a wasteful number, since it uses less digits than its factorization.

122145325040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27579 (or 27573 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 122145325040 its reverse (40523541221), we get a palindrome (162668866261).

The spelling of 122145325040 in words is "one hundred twenty-two billion, one hundred forty-five million, three hundred twenty-five thousand, forty".