122330023120200 has 768 divisors, whose sum is σ = 464150435328000. Its totient is φ = 26050112225280.

The previous prime is 122330023120199. The next prime is 122330023120313. The reversal of 122330023120200 is 2021320033221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 575919616 + ... + 576131984.

It is an arithmetic number, because the mean of its divisors is an integer number (604362546000).

Almost surely, 2^{122330023120200} is an apocalyptic number.

122330023120200 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 122330023120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232075217664000).

122330023120200 is an abundant number, since it is smaller than the sum of its proper divisors (341820412207800).

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

122330023120200 is a wasteful number, since it uses less digits than its factorization.

122330023120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212574 (or 212565 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 122330023120200 its reverse (2021320033221), we get a palindrome (124351343153421).

The spelling of 122330023120200 in words is "one hundred twenty-two trillion, three hundred thirty billion, twenty-three million, one hundred twenty thousand, two hundred".