122123330023200 has 432 divisors, whose sum is σ = 447095364252768. Its totient is φ = 28917149184000.

The previous prime is 122123330023193. The next prime is 122123330023217. The reversal of 122123330023200 is 2320033321221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7597260 + ... + 17377140.

Almost surely, 2^{122123330023200} is an apocalyptic number.

122123330023200 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 122123330023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223547682126384).

122123330023200 is an abundant number, since it is smaller than the sum of its proper divisors (324972034229568).

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

122123330023200 is a wasteful number, since it uses less digits than its factorization.

122123330023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9779969 (or 9779945 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 122123330023200 its reverse (2320033321221), we get a palindrome (124443363344421).

The spelling of 122123330023200 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, three hundred thirty million, twenty-three thousand, two hundred".