4022112121200 has 300 divisors, whose sum is σ = 14498654627160. Its totient is φ = 1067836331520.

The previous prime is 4022112121177. The next prime is 4022112121231. The reversal of 4022112121200 is 21212112204.

4022112121200 is a `hidden beast` number, since 40 + 2 + 211 + 212 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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 59 ways as a sum of consecutive naturals, for example, 7081366 + ... + 7628234.

Almost surely, 2^{4022112121200} is an apocalyptic number.

4022112121200 is a gapful number since it is divisible by the number (40) 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 4022112121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7249327313580).

4022112121200 is an abundant number, since it is smaller than the sum of its proper divisors (10476542505960).

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

4022112121200 is a wasteful number, since it uses less digits than its factorization.

4022112121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547126 (or 547106 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 4022112121200 its reverse (21212112204), we get a palindrome (4043324233404).

The spelling of 4022112121200 in words is "four trillion, twenty-two billion, one hundred twelve million, one hundred twenty-one thousand, two hundred".