122000000000000 has 364 divisors, whose sum is σ = 309981078847626. Its totient is φ = 48000000000000.

The previous prime is 121999999999991. The next prime is 122000000000003. The reversal of 122000000000000 is 221.

It can be written as a sum of positive squares in 13 ways, for example, as 57990783668224 + 64009216331776 = 7615168^2 + 8000576^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 121999999999894 and 121999999999903.

It is not an unprimeable number, because it can be changed into a prime (122000000000003) by changing a digit.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 1999999999970 + ... + 2000000000030.

Almost surely, 2^{122000000000000} is an apocalyptic number.

122000000000000 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 122000000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154990539423813).

122000000000000 is an abundant number, since it is smaller than the sum of its proper divisors (187981078847626).

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

122000000000000 is an frugal number, since it uses more digits than its factorization.

122000000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 122000000000000 its reverse (221), we get a palindrome (122000000000221).

The spelling of 122000000000000 in words is "one hundred twenty-two trillion", and thus it is an aban number.