122201033310000 has 450 divisors, whose sum is σ = 439217399232612. Its totient is φ = 31706182080000.

The previous prime is 122201033309987. The next prime is 122201033310011. The reversal of 122201033310000 is 13330102221.

122201033310000 is a `hidden beast` number, since 1 + 2 + 220 + 10 + 333 + 100 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (450).

It is a super-2 number, since 2×122201033310000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 122714095 + ... + 123705905.

Almost surely, 2^{122201033310000} is an apocalyptic number.

122201033310000 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 122201033310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219608699616306).

122201033310000 is an abundant number, since it is smaller than the sum of its proper divisors (317016365922612).

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

122201033310000 is an equidigital number, since it uses as much as digits as its factorization.

122201033310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991919 (or 991858 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122201033310000 its reverse (13330102221), we get a palindrome (122214363412221).

The spelling of 122201033310000 in words is "one hundred twenty-two trillion, two hundred one billion, thirty-three million, three hundred ten thousand".