122112555040 has 480 divisors, whose sum is σ = 354860034480. Its totient is φ = 39652687872.

The previous prime is 122112555031. The next prime is 122112555053. The reversal of 122112555040 is 40555211221.

It can be written as a sum of positive squares in 8 ways, for example, as 16380928144 + 105731626896 = 127988^2 + 325164^2 .

It is a super-2 number, since 2×122112555040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1080642024 + ... + 1080642136.

Almost surely, 2^122112555040 is an apocalyptic number.

122112555040 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 122112555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177430017240).

122112555040 is an abundant number, since it is smaller than the sum of its proper divisors (232747479440).

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

122112555040 is an equidigital number, since it uses as much as digits as its factorization.

122112555040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

Adding to 122112555040 its reverse (40555211221), we get a palindrome (162667766261).

The spelling of 122112555040 in words is "one hundred twenty-two billion, one hundred twelve million, five hundred fifty-five thousand, forty".