122232002011200 has 336 divisors, whose sum is σ = 445617219000000. Its totient is φ = 32592545095680.

The previous prime is 122232002011169. The next prime is 122232002011213. The reversal of 122232002011200 is 2110200232221.

122232002011200 is a `hidden beast` number, since 1 + 2 + 22 + 320 + 0 + 201 + 120 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 561880051 + ... + 562097549.

Almost surely, 2^{122232002011200} is an apocalyptic number.

122232002011200 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 122232002011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222808609500000).

122232002011200 is an abundant number, since it is smaller than the sum of its proper divisors (323385216988800).

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

122232002011200 is a wasteful number, since it uses less digits than its factorization.

122232002011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230539 (or 230518 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122232002011200 its reverse (2110200232221), we get a palindrome (124342202243421).

The spelling of 122232002011200 in words is "one hundred twenty-two trillion, two hundred thirty-two billion, two million, eleven thousand, two hundred".