122112714240 has 1280 divisors, whose sum is σ = 509110272000. Its totient is φ = 27431239680.

The previous prime is 122112714223. The next prime is 122112714247. The reversal of 122112714240 is 42417211221.

122112714240 is a `hidden beast` number, since 1 + 2 + 211 + 27 + 1 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112714247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1141240267 + ... + 1141240373.

It is an arithmetic number, because the mean of its divisors is an integer number (397742400).

Almost surely, 2^122112714240 is an apocalyptic number.

122112714240 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 122112714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254555136000).

122112714240 is an abundant number, since it is smaller than the sum of its proper divisors (386997557760).

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

122112714240 is a wasteful number, since it uses less digits than its factorization.

122112714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 122112714240 its reverse (42417211221), we get a palindrome (164529925461).

The spelling of 122112714240 in words is "one hundred twenty-two billion, one hundred twelve million, seven hundred fourteen thousand, two hundred forty".