122412055140 has 240 divisors, whose sum is σ = 394203015360. Its totient is φ = 31781756160.

The previous prime is 122412055067. The next prime is 122412055153. The reversal of 122412055140 is 41550214221.

It is a happy number.

122412055140 is a `hidden beast` number, since 1 + 2 + 24 + 120 + 5 + 514 + 0 = 666.

It is a super-2 number, since 2×122412055140² (a number of 23 digits) contains 22 as substring.

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

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, 23054806 + ... + 23060114.

It is an arithmetic number, because the mean of its divisors is an integer number (1642512564).

Almost surely, 2^122412055140 is an apocalyptic number.

122412055140 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 122412055140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197101507680).

122412055140 is an abundant number, since it is smaller than the sum of its proper divisors (271790960220).

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

122412055140 is a wasteful number, since it uses less digits than its factorization.

122412055140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5704 (or 5693 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 122412055140 its reverse (41550214221), we get a palindrome (163962269361).

The spelling of 122412055140 in words is "one hundred twenty-two billion, four hundred twelve million, fifty-five thousand, one hundred forty".