122001330211200 has 384 divisors, whose sum is σ = 487081072137600. Its totient is φ = 29576079820800.

The previous prime is 122001330211109. The next prime is 122001330211247. The reversal of 122001330211200 is 2112033100221.

122001330211200 is a `hidden beast` number, since 1 + 220 + 0 + 1 + 3 + 30 + 211 + 200 = 666.

122001330211200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63233802 + ... + 65134601.

It is an arithmetic number, because the mean of its divisors is an integer number (1268440292025).

Almost surely, 2^{122001330211200} is an apocalyptic number.

122001330211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122001330211200 is an abundant number, since it is smaller than the sum of its proper divisors (365079741926400).

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

122001330211200 is a wasteful number, since it uses less digits than its factorization.

122001330211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128368447 (or 128368424 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122001330211200 its reverse (2112033100221), we get a palindrome (124113363311421).

The spelling of 122001330211200 in words is "one hundred twenty-two trillion, one billion, three hundred thirty million, two hundred eleven thousand, two hundred".