122135040000 has 1300 divisors, whose sum is σ = 495396922240. Its totient is φ = 29859840000.

The previous prime is 122135039977. The next prime is 122135040037. The reversal of 122135040000 is 40531221.

122135040000 is a `hidden beast` number, since 1 + 2 + 213 + 50 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 3939839985 + ... + 3939840015.

Almost surely, 2^122135040000 is an apocalyptic number.

122135040000 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 122135040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247698461120).

122135040000 is an abundant number, since it is smaller than the sum of its proper divisors (373261882240).

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

122135040000 is an frugal number, since it uses more digits than its factorization.

122135040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 122135040000 its reverse (40531221), we get a palindrome (122175571221).

The spelling of 122135040000 in words is "one hundred twenty-two billion, one hundred thirty-five million, forty thousand".