122113321000000 has 294 divisors, whose sum is σ = 332933843509442. Its totient is φ = 44404800000000.

The previous prime is 122113320999997. The next prime is 122113321000009. The reversal of 122113321000000 is 123311221.

It can be written as a sum of positive squares in 7 ways, for example, as 116253939180544 + 5859381819456 = 10782112^2 + 2420616^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (122113321000009) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 120495400 + ... + 121504600.

Almost surely, 2^{122113321000000} is an apocalyptic number.

122113321000000 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 122113321000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166466921754721).

122113321000000 is an abundant number, since it is smaller than the sum of its proper divisors (210820522509442).

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

122113321000000 is an frugal number, since it uses more digits than its factorization.

122113321000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009265 (or 1009219 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 122113321000000 its reverse (123311221), we get a palindrome (122113444311221).

The spelling of 122113321000000 in words is "one hundred twenty-two trillion, one hundred thirteen billion, three hundred twenty-one million", and thus it is an aban number.