122331333300000 has 576 divisors, whose sum is σ = 438006681778176. Its totient is φ = 29646320000000.

The previous prime is 122331333299983. The next prime is 122331333300017. The reversal of 122331333300000 is 3333133221.

It is an interprime number because it is at equal distance from previous prime (122331333299983) and next prime (122331333300017).

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 95 ways as a sum of consecutive naturals, for example, 18846296755 + ... + 18846303245.

It is an arithmetic number, because the mean of its divisors is an integer number (760428266976).

Almost surely, 2^{122331333300000} is an apocalyptic number.

122331333300000 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 122331333300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219003340889088).

122331333300000 is an abundant number, since it is smaller than the sum of its proper divisors (315675348478176).

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

122331333300000 is an equidigital number, since it uses as much as digits as its factorization.

122331333300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12251 (or 12223 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 122331333300000 its reverse (3333133221), we get a palindrome (122334666433221).

The spelling of 122331333300000 in words is "one hundred twenty-two trillion, three hundred thirty-one billion, three hundred thirty-three million, three hundred thousand".